Nonlinear Analysis and Differential Equations

2022

Papers in international journals

Authors	Title	Journal	Pages

JP Dias, H. Frid	On short wave-long wave interactions in the relativistic context	Commun. Math. Anal. Appl.	1, pp. 263-284, 2022
Barroso, A. C., Zappale, E.	An optimal design problem with non-standard growth and no concentration effects	Asymptotic Analysis	vol. 128, no. 3, pp. 385-412, 2022
Barroso, A. C., Matias, J., Zappale, E.	Relaxation for an optimal design problem in BD(\Omega)	Proceedings of the Royal Society of Edinburgh	pp. 1-43, 2022
Barroso, A. C., Matias, J., Morandotti, M., Owen, D. R., Zappale, E.	The variational modeling of hierarchical structured deformations	Journal of Elasticity	2022
Beirão da Veiga, H., Jiaqi Yang	On mixed pressure-velocity regularity criteria to the Navier-Stokes equations in Lorentz spaces, Part II: The non-slip boundary value problem	Chinese Annals of Mathematics, Series B	43 (1), pp. 51-58, 2022
Beirão da Veiga, H., Jiaqi Yang	Navier-Stokes equations under slip boundary conditions: Lower bounds to the minimal amplitude of possible time-discontinuities of solutions with two components in L ∞(L 3 )	Science China Mathematics	65: pp. 2099–2122, 2022
Finkelshtein, D., Kondratiev, Y., Lytvynov, E., Oliveira, M. J.,	Stirling operators in spatial combinatorics	Journal of Functional Analysis	vol. 282, Issue 2, 109285, 2022
N. Van Goethem	Is Objectivity really an objective concept?	Ann. Appl. Math.	38 (4), pp. 441-492, 2022
Xavier, M., N. Van Goethem	Brittle fracture on plates governed by topological derivatives	Engineering Computations	39 (1), pp. 421-437, 2022
S.N. Antontsev, H.B. de Oliveira	Cauchy problem for the Navier-Stokes-Voigt model governing nonhomogeneous flows	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales - Serie A	Matematicas 116, no.4, Article: 158, 2022
S.N. Antontsev, H.B. de Oliveira, K. Khompysh	Kelvin-Voigt equations for incompressible and nonhomogeneous fluids with anisotropic viscosity, relaxation and damping	NoDEA - Nonlinear Differential Equations and Applications	29, no.5, Article: 60, 2022
R. Vilela Mendes, Tanya Araújo	Long-range connections and mixed diffusion in fractional networks	Physica A: Statistical Mechanics and its Applications	vol. 608, part I, 128269, 2022
R. Vilela Mendes	On lattice confinement and hybrid fusion	Modern Physics Letters B	vol. 36, No. 12, 2250042, 2022
R. Vilela Mendes, Tanya Araújo	Long-range connections, real world networks and rates of diffusion	Advances in Complex Systems	vol. 25, No. 07, 2250009, 2022
R. Vilela Mendes	Non-Abelian lattice theories: Consistent measures and strata	International Journal of Modern Physics A	vol. 37, No. 10, 2250057, 2022
T. Faria, Henrique C. Prates	Global attractivity for a nonautonomous Nicholson's equation with mixed monotonicities	Nonlinearity	35, pp. 589-607, 2022
T. Faria	Stability for nonautonomous linear differential systems with infinite delay	Journal of Dynamics and Differential Equations	vol. 34, pp. 747–773, 2022
T. Faria, R. Figueroa	Positive periodic solutions for systems of impulsive delay differential equations	Discrete and Continuous Dynamical Systems - Series B	28, pp. 170—196
T. Faria	Stability and periodic solutions for Nicholson equations with mixed monotone terms	Matemática Contemporânea	vol. 52, pp. 119-141, 2022
Casteras, Jean-Baptiste, Heinonen, Esko, Holopainen, Ilkka, De Lira, Jorge H.	Nonparametric mean curvature flow with prescribed contact angle in Riemannian products	Analysis and Geometry in Metric Spaces	10, no. 1, pp. 31–39, 2022
Casteras, Jean-Baptiste, Holopainen, I.	Fourth Order Schrödinger Equation with Mixed Dispersion on Certain Cartan-Hadamard Manifolds	Journal of Dynamics and Differential Equations	2022
Boccardo, L., Cirmi, G.R., Rodrigues, J.F.	On obstacle problems for non coercive linear operators	Journal of Elliptic and Parabolic Equations	8 (2), pp. 635–657, 2022
Rodrigues, J.F., Scala, R.	Dynamics of a viscoelastic membrane with gradient constraint	Journal of Differential Equations	317, pp. 603–638, 2022
Alphonse, A., Rautenberg, C.N., Rodrigues, J.F.	Analysis of a quasi-variational contact problem arising in thermoelasticity	Nonlinear Analysis, Theory, Methods and Applications	217, 112728, 2022
Rodrigues, J.F.	Portuguese mathematical typography: a brief overview from 1496 until 1987	Eur. Math. Soc. Mag.	123, pp. 17-24, 2022
Rodrigues, J.F.	Some Mathematical Aspects of the Periodic Table	Memórias da Acad. Ciências Lisboa, Tomo C-XLVIII	pp. 313-320, 2022
Nesrine Bouhali, Dalila Azzam-Laouir, Manuel D. P. Monteiro Marques	Optimal control of an evolution problem involving time-dependent maximal monotone operators	Journal of Optimization Theory and Applications	194 no. 1, pp. 59–91, 2022
Fatiha Selamnia, Dalila Azzam-Laouir, Manuel D. P. Monteiro Marques	Evolution problems involving state-dependent maximal monotone operators	Applicable Analysis	101 , no. 1, pp. 297–313, 2022

Book chapter:

Barroso, A. C., J. P. Silva

Mutual inductance between piecewise-linear loops

book chapter, Offbeat Physics: Machines, Meditations and Misconceptions s, Ed. P. I. C. Teixeira

CRC Press, 2022

2021

Papers in international journals

Margheri, A., Rebelo C., Zanolin, F.	Fixed points for planar maps with multiple twists, with application to nonlinear equations with indefinite weight	Philosophical Transaction of the Royal Society A, Volume 379 Issue 2191	3769-3805
Barroso, A.C, E. Zappale	An optimal design problem with non-standard growth and no concentration effects	Asympt. Anal.	31–53, 2021
Antontsev, S., H.B. de Oliveira, Khompysh, Khonatbek	The classical Kelvin-Voigt problem for incompressible fluids with unknown non-constant density: existence, uniqueness and regularity	Journal Nonlinearity, 34(2021), 3083-3111	34, 3083-3111, 211–237, 2021
Antontsev, S., Jorge Ferreira, Erhan Pişkin, Sebastião Martins Siqueira Cordeiro	Existence and non-existence of solutions for Timoshenko –type equations with variable exponents	Nonlinear Analysis: Real World Applications	vol. 61, 103341 23 pp., 2021
Antontsev, S., Jorge Ferreira, Erhan Piskin	Existence and blow up of solutions for a strongly damped Petrovsky equation with variable-exponent nonlinearities	Electron. J. Differential Equations	vol. 2021, No. 06, pp. 1-18, 2021
Antontsev, S., J. Ferreira	A nonlinear viscoelastic plate equation with p (x, t)-Laplace operator: Blow up of solutions with negative initial energy	Nonlinear Analysis: Real World Applications	59,10324, 2021
Antontsev, S., H.B.de Oliveira, Kh. Khompysh	Kelvin –Voigt equations with anisotropic diffusion, relaxation and damping: Blow-up and large time behavior	Journal Asymptotic Analysis	vol. 121, no. 2, pp. 125-157, 2021
Antontsev, S., Khompysh, Khonatbek	An inverse problem for generalized Kelvin-Voigt equation with p-Laplacian and damping term	J. Inverse Problems	vol. 37, n8, 2021
Antontsev, S., A.A. Papin, M.A. Tokareva, E.I. Leonova, E.A. Gridushko	Modeling of Tumor Occurrence and Growth-III	Iz Izvestia of Altai State University Journal	nº4 (120), pp. 71-80 , 2021
Bonheure, Denis, Casteras, Jean-Baptiste Román, Carlos	Unbounded mass radial solutions for the Keller-Segel equation in the disk	Calc. Var. Partial Differential Equations	60, no. 5, Paper No. 198, 30 pp, 2021
Bonheure, Denis, Casteras, Jean-Baptiste, Gladiali, Francesca	Bifurcation analysis of the Hardy-Sobolev equation	J. Differential Equations	296, 759–798, 2021
Casteras, Jean-Baptiste, Mandel, Rainer	On Helmholtz equations and counterexamples to Strichartz estimates in hyperbolic space	Int. Math. Res. Not. IMRN	no. 7, 4838–4863, 2021
N.D. Lopes, H.B. de Oliveira	Continuous/discontinuous Galerkin approximations for a fourth-order nonlinear problem	Computers and Mathematics with Applications	97, 122-152, 2021
Beirão da Veiga, H., Jiaqi Yang	On the partial regularity of suitable weak solutions in the non-Newtonian shear-thinning case	Nonlinearity	34, 562—577, 2021
Beirão da Veiga, H., Jiaqi Yang	On mixed pressure-velocity regularity criteria to the Navier-Stokes equations in Lorentz spaces	Chinese Ann. Math.,Series B	42(1),1-16, 2021
J.P. Dias	A quasilinear system related with the asymptotic equation of the nematic liquid crystal's director field	Chinese Ann. Math.,Series B	42, 163-172, 2021
Chau, Oanh, Petrov, Adrien, Heibig, Arnaud, Marques, Manuel Monteiro	A frictional dynamic thermal contact problem with normal compliance and damage	Nonlinear analysis and global optimization	71-107, 167, 2021
Correia, S., Figueira, M.	A generalized complex Ginzburg-Landau equation: Global existence and stability results	Communications on Pure & Applied Analysis	vol.20 (5), 2021-2038, 2021
Kavallaris, N. I., Barreira, R., Madzvamuse, A.	Dynamics of Shadow System of a Singular Gierer–Meinhardt System on an Evolving Domain	Journal of Nonlinear Science	31, 1, 2021
Paz, M.C., Santos, S. A.P., Barreira, R.	Processing of high-resolution temporal climate data for daily simulations of a complex agro-ecosystem	Revista de Estudios Andaluces	2021
Ascensão, C., Ferreira, B., Barreira, R., Carriço, N.	Comparison of Reconstruction Methods for Water Supply Systems Flow Rate Time Series	Springer International Publishing	851-858, 2021
Vilela Mendes, R.	Modular quantum computing and quantum-like devices	International Journal of Quantum Information	vol. 19, nº 03, 2150020, 2021
Vilela Mendes, R., Aguirre, C.	Tools to Characterize the Correlated Nature of Collective Dynamics	Complex Systems	vol. 30, Issue 1, 2021
Vilela Mendes, R.	Alternative Quantum Formulations and Systems at the Classical-Quantum Border	ICPS 2019, ICPS 2018, ICPS 2017: From Particle Systems to Partial Differential Equations	pp 381-400, 2021
Vilela Mendes, R.	O planeta humano: sustentabilidade e governabilidade	chapter in book "Complexidade: Implicações e políticas globais"	pp. 133-155 , 2021
C.O.R. Sarrico	Travelling waves for the Brio system	Journal of Nonlinear Science	31, article 69, 2021
C.O.R. Sarrico	The movement of a particle according to the Gurevich-Zibin dark matter model	J. Math. Phys.	62, 051509, 2021
Miguel Boto, C.O.R. Sarrico	Distributional profiles for travelling waves in the Camassa-Holm equation	Journal of Dynamics and Differential Equations	2021
T. Faria	Permanence for Nonautonomous Differential Systems with Delays in the Linear and Nonlinear Terms	Mathematics	9, 263, 2021
T. Faria	Permanence and exponential stability for generalised nonautonomous Nicholson systems	Electronic Journal of Qualitative Theory of Differential Equations	nº 9, 1–19, 2021
Xavier, M., Van Goethem, N.	Brittle fracture on plates governed by topological derivatives	Engineering Computations	2021
Sanchez, L., João G. Silva	Remarks on periodic resonant problems with nonlinear dissipation	Electronic Journal of Differential Equations	special Issue 01, pp. 203-212, 2021
Azevedo, A., Rodrigues, J.F., Santos, L.	Lagrange multipliers for evolution problems with constraints on the derivatives	St. Petersburg Mathematical Journal	32(3), pp. 435–448, 2021
Rodrigues, J. F., Santos, L.	Correction to: “On nonlocal variational and quasi-variational inequalities with fractional gradient	Appl. Math. Optim.	84, nº3, 3565-3567, 2021
Carlen, E.A., Ulusoy, S.	Dissipation for a non-convex gradient flow problem of a Patlack–Keller–Segel type for densities on Rd, d≥3	Nonlinear Analysis, Theory, Methods and Applications	208, 112314, 2021
Carlen, E.A., Holzmann, M., Jauslin, I., Lieb, E.H.	Simplified approach to the repulsive Bose gas from low to high densities and its numerical accuracy	Physical Review A	103(5), 053309, 2021
Carlen, E.A., Frank, R.L., Ivanisvili, P., Lieb, E.H.	Inequalities for Lp -Norms that Sharpen the Triangle Inequality and Complement Hanner’s Inequality	Journal of Geometric Analysis	31(4), pp. 4051–4073, 2021
Amorim, É., Carlen, E.A.	Complete positivity and self-adjointness	Linear Algebra and Its Applications	611, pp. 389–439, 2021

2020

Papers in International Journals

Amstutz, S.; Van Goethem, N.	Existence and asymptotic results for an intrinsic model of incompatible small-strain elasticity	Discrete and Continuous Dynamical Systems B 25 (2020), no. 10	3769-3805
Antontsev, S. N.; Kuznetsov, I. V.; Sazhenkov, S. A.	A shock layer arising as the source term collapses in the P(X)-Laplacian equation	Probl. Anal. Issues Anal. 9(27) (2020), no. 3	31–53
Antontsev S.; Shmarev, S.	Nonlocal evolution equations with p[u(x,t)]-Laplacian and lower-order terms	J. Elliptic Parabol. Equ. 6 (2020), no. 1	211–237
Antontsev S.; Shmarev, S.	On a class of nonlocal evolution equations with the p[u(x,t)]-Laplace operator	Nonlinear Anal. Real World Appl. 56 (2020)	23 pp.
Antontsev, S.; M Shmarev, S.	Global estimates for solutions of singular parabolic and elliptic equations with variable nonlinearity	Nonlinear Anal. 195 (2020)	29 pp.
Antontsev, S. N.; de Oliveira, H.B.; Khompysh, K.	Regularity and uniqueness of Kelvin-Voigt models for nonhomogeneous and incompressible fluids	J. of Physics: Conference Series 1666 (2020)

Azevedo, A.; Rodrigues, J. F.; Santos, L.	Lagrange multipliers for evolution problems with constraints on the derivatives	Algebra i Analiz 32 (2020), no. 3	65–83
Azzam-Laouir, D.; Belhoula, W.; Castaing, C.; Monteiro Marques, M. D. P.	Multi-valued perturbation to evolution problems involving time dependent maximal monotone operators	Evol. Equ. Control Theory 9 (2020), no. 1	219–254
Barbarosie, C.; Toader, A. M.; Lopes, S.	A gradient-type algorithm for constrained optimization with application to microstructure optimization	Discrete and Continuous Dynamical Systems Series B 25 (2020), no. 5	1729-1755
Beirão da Veiga, H.; Yang, J.	On the Shinbrot's criteria for energy equality to Newtonian fluids: a simplified proof, and an extension of the range of application	Nonlinear Anal. 196 (2020)	4 pp.
Beirão da Veiga, H.; Yang, J.	Onsager's conjecture for the incompressible Euler equations in the Hölog spaces C0,αλ(Ω⎯⎯⎯⎯⎯)	J. Math. Fluid Mech. 22 (2020), no. 2, Paper No. 27	10 pp.
Beirão da Veiga, H.; Yang, J.	Regularity criteria for Navier-Stokes equations with slip boundary conditions on non-flat boundaries via two velocity components	Adv. Nonlinear Anal. 9 (2020), no. 1	633–643
Bizarro, J. P. S.; Cortes, J.; Vilela Mendes, R.	Quantum corrections to plasma kinetic equations: A deformation approach	Physical Review E 102 (2020)
Buedo-Fernández, S.; Faria, T.	Periodic solutions for differential equations with infinite delay and nonlinear impulses	Math. Methods Appl. Sci. 43 (2020)	2783-3878
Carlen, E.; Carvalho, M.; Loss, M.	Spectral gaps for reversible Markov processes with chaotic invariant measures: The Kac process with hard sphere collisions in three dimensions	Ann. Probab. 48, no. 6	2807-2844
Caroccia, M.; Focardi, M.; Van Goethem, N.	On integral representation of local energy functionals on $BD$	SIAM J. Math. Anal. 52 (2020), no.4	4022-4067
Cid, J. A.; Sanchez, L.	Nonnegative oscillations for a class of differential equations without uniqueness: a variational approach	Discrete Contin. Dyn. Syst. Ser B 25 (2020), no. 2	545-554
Correia, S.; Figueira, M.	Some stability results for the complex Ginzburg-Landau equation	Commun. Contemp. Math. 22 (2020), no. 8	16 pp.
Dias, J. P.; Oliveira, F.; Tavares, H.	On a coupled system of a Ginzburg-Landau equation with a quasilinear conservation law	Comm. Contemp. Math. 22 (2020), no. 7	30 pp.
Dias, J. P.	Linear stability of shock profiles for a quasilinear Benney system in R2 x R	J. Hyperbolic Diff. Eq.17 (2020)	797-807
Faria, T.; Oliveira, J. J.	Global asymptotic stability for a periodic delay hematopoiesis model with impulses	Appl. Math. Model. 79 (2020),	843-864
Ferreira, L.; Sanchez, L.	On a class of difference equations involving a linear map with two dimensional kernel.	Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 8	14 pp.
Faria, T.	Stability for non autonomous linear differential systems with infinite delay	J. Din. Diff. Equ. (2020)
Margheri, A.; Misquero, M.	A dissipative Kepler problem with a family of singular drags	Celestial Mechanics and Dynamical Astronomy 132 (2020), no. 3	article id.17
Miranda, F.; Rodrigues, J. F.; Santos, L.	Evolutionary quasi-variational and variational inequalities with constraints on the derivatives	Adv. Nonlinear Anal. 9 (2020), no. 1	250–277
Paiva, A.	Formation of δ-shock waves in isentropic fluids	Z. Angew. Math. Phys. 71 (2020), no. 4, Paper No. 110	12 pp.
Paiva, A.	New δ-shock waves in the p-system: a distributional product approach	Math. Mech. Solids 25 (2020), no. 3	619-624
Sarrico, C. O. R.	Emergence of ????’ - waves in the zero pressure gas dynamic system	Internat. J. of Math. 31 (2020), no. 4	18 pp.
Sarrico, C. O. R.	New singular travelling waves for convection-diffusion-reaction equations	J. Phys. A 53 (2020), no. 15	17 pp.
Sarrico, C. O. R.; Paiva, A.	Creation, Anhilation, and Interaction of Delta-Waves in Nonlinear Models: a Distributional Product Approach	Russ. J. of Math. Physi. 27 (2020)	111-125
Sarrico, C. O. R.	Distributions as travelling waves in a nonlinear model from elastodynamics	Phys. D 403 (2020)
Sarrico, C. O. R.	Distributions as initial values in a triangular hyperbolic system of conservation laws	Proc. Roy Soc. Edinburgh Sect. A 150 (2020), no. 6	2757-2775
Scala, R.; Van Goethem, N.	Analytic and geometric properties of dislocation singularities	Proc. R. Soc. Edinburgh: Section A Math. 150 (2020), no. 4	1609-1651

Vilela Mendes, R.	Space-times over normed division algebras, revisited	International Journal of Modern Physics A 35 (2020), no. 10.
Xavier, M.; Van Goethem, N. Novotny, A.	Hydro-mechanical fracture modelling governed by topological derivatives	Computer Methods in Applied Mechanics and Engineering 365 (2020), no. 15	977-1003

2019

Papers in International Journals

Aliouane, F., Azzam-Laouir, D., Castaing, C., Monteiro Marques, M. D. P.	Second-order time and state-dependent sweeping process in Hilbert space	Journal of Optimization Theory and Applications 182 (2019)	153-188
Antontsev S.N., Aitzhanov S. E.	Inverse problem for an equation with a nonstandard growth condition	Journal of Applied Mechanics and Technical Physics 60 (2019)	265-277
Antontsev S.N., Öztürk, E.	Well-posedness and long time behavior for p-Laplacian equation with nonlinear boundary condition	Journal of Mathematical Analysis and Applications 472 (2019), no. 2	1604-1630
Antontsev S.N., Shmarev S.	On a class of fully nonlinear parabolic equations	Adv. Nonlinear Anal 8 (2019), no.1	79-100
Antontsev, S. N., Shmarev, S.	Higher regularity of solutions of singular equations with variable nonlinearity	Applicable Analysis 98 (2019)	330-331
Antontsev S.N., Shmarev, S., Simsen, J., Stefanello Simsen, M.	Differential inclusion for the evolution p(x)- Laplacian with memory.	Electronic Journal of Differential Equations 2019 (2019), no. 26	1–28
Antontsev, S. N.; de Oliveira, H. B; Khompysh, K.	Existence and large time behavior for generalized Kelvin-Voigt equations governing nonhomogeneous and incompressible fluids	J. Phys. Conf. Ser. 1268 (2019)
Antontsev, S. N.; de Oliveira, H. B; Khompysh, K.	Kelvin-Voigt equations perturbed by anisotropic relaxation, diffusion and damping	J. Math. Anal. Appl. 473 (2019), no. 2	1122-1154
Antontsev, S. N.; de Oliveira, H. B.; Khompysh, K.	Generalized Kelvin-Voigt equations for nonhomogeneous and incompressible fluids	Commun. Math. Sci. 17 (2019), no. 7	1915-1948
Araújo, T.; Göbel, M.	Reframing the S&P 500 network of stocks along the 21st century	Physica A: Statistical Mechanics and its Applications 256 (2019)	121062
Araújo, T.; Neves, D.; Louçã, F.	Networks of intergenerational mobility	Complex Networks and Their Applications VII (2019)	316-324
Azzam-Laouir, D., Belhoula, W., Castaing, C., Monteiro Marques, M. D. P.	Perturbed evolution problems with absolutely continuous variation in time and applications	ournal of Fixed Point Theory and Applications 21 (2019), no. 2, art. num. 40
B. S. Bizarro, J., Venâncio, L., Vilela Mendes, R.	Exact conservative solutions of fluid models for the scrape-off layer as the ancestors of plasma blobs?	Nuclear Fusion 60 (2019), no. 1
Barroso, A. C.; Zappale, E.	Relaxation for optimal design problems with nonstandard growth	Appl. Math. Optim. 80 (2019), no. 2	515-546
Beirão-da-Veiga, H.	Navier-Stokes equations: Some questions related to the direction of the vorticity	American Institute of Mathematical Sciences 12 (2019), no. 2	203-213
Beirão-da-Veiga, H., Bemelmans, J., Brand, J.	On a two components condition for regularity of the $3D$ Navier-Stokes equations under physical slip boundary conditions on non-flat boundaries	Mathematische Annalen 374 (2019)	1559-1596
Beirão-da-Veiga, H., Yang, J.	On the energy equality for solutions to Newtonian and non-Newtonian fluids	Nonlinear Analysis 185 (2019)	388-402
Carlen, E., Carvalho, M. C., Loss, M. P.	Chaos, ergodicity, and equilibria in a quantum Kac model	Advances in Mathematics 358 (2019)	106827
Caroccia, M., Van Goethem, N.	Damage-driven fracture with low-order potentials: asymptoticbehavior and applications	ESAIM:M2AN 53 (2019), no. 4	1305-1350
Chipot, M.; de Oliveira, H. B.	Some results on the p(u)-Laplacian problem	Math. Ann. 375 (2019), nos. 1–2	283–313
Cipriano, F., Ouerdiane, H., Vilela Mendes, R.	Stochastic stability of invariant measures: The 2D Euler equation	International Journal of Modern Physics B 33 (2019), no. 17	1950185
Correia, S.	Finite speed of disturbance for the nonlinear Schrödinger equation	Proc. Roy. Soc. Edinburgh Sect. A 149 (2019), no. 6	1405–1419
Corcho, A., Correia, S., Oliveira, F., Silva., J. D.	On a nonlinear Schrödinger system arising in quadratic media	Commun. Math. Sci. 17 (2019), no. 4	969–987
Correia, S., Figueira, M.	L-infinity solutions of the hyperbolic nonlinear Schrödinger equation and their stability	Adv. Differential Equations 24 (2019), no. 1-2	1–30
de Oliveira, H. B; Granja-Martins, F.; Fernandez, H.	Map production and data analysis with local parameters: The case study of the Algarve region.	4open 2 (2019)	art. no. 27
de Oliveira, H. B; Paiva, A.	Partial regularity of the solutions to a turbulent problem in porous media	Proc. Amer. Math. Soc. 147 (2019), no. 9	3961-3981
de Oliveira, H. B.	Generalized Navier-Stokes equations with nonlinear anisotropic viscosity.	Anal. Appl. 17 (2019), no. 6	977-1003
Finkelshtein, D., Kondratiev, Y., Lytvynov, E., Oliveira, M. J.	An infinite dimensional umbral calculus	J. Funct. Anal. 276 (2019), no. 12	3714-3766
Finkelshtein, D., Kondratiev, Y., Lytvynov, E., Oliveira, M. J., Streit, L..	Sheffer homeomorphisms of spaces of entire functions in infinite dimensional analysis	J. Math. Anal. Appl. 479 (2019), no. 1	162–184
Francisco Rodrigues, J., Santos, L.	On Nonlocal Variational and Quasi-Variational Inequalities with Fractional Gradient	Applied Mathematics & Optimization 80 (2019)	835-852
Garrione, M., Margheri, A., Rebelo, C.	Nonautonomous nonlinear ODEs: nonresonance conditions and rotation numbers	Journal of Mathematical Analysis and Applications 473 (2019), no. 1	490-509
Gidoni, P., Margheri, A.	Lower bound on the number of periodic solutions for asymptotically linear planar hamiltonian systems	Discrete and Continuous Dynamical Systems 39 (2019), no. 1	585-605
Göbel, M.; Araújo, T.	A Network Structure Analysis of Economic Crises	Complex Networks and Their Applications VII (2019)	316-324
Martins, J., Pinto, A., Stollenwerk, N.	The maximum curvature reinfection threshold	Ecological Complexity 40 (2020)	part A
Miranda, F., Francisco Rodrigues, J., Santos, L.	Evolutionary quasi-variational inequalities with constraints on the derivatives	Advances in Nonlinear Analysis 9 (2019), no. 1
Noris, H. B., Tavares, H., Verzini, G.	Normalized solutions for nonlinear Schrödinger systems on bounded domains	Nonlinearity 32 (2019), no. 3	1044–1072
Paiva, A.	New delta-shock waves in the p-system: a distributional product approach	Mathematics and Mechanics of Solids (2019), 25 (2019), no. 3	619-629
Rashkov, P., Venturino, E., Aguiar, M., Stollenwerk, N., Kooi, B. W.	On the role of vector modeling in a minimalistic epidemic model	Mathematical Biosciences and Engineering 16 (2019), no. 5	4314-4338
Sarrico, C. O. R	A nonlinear conservation law with a step function involving the flux: a distributional approach	Journal of Mathematical Physics 60 (2019), no. 9	1-19
Sarrico, C. O. R.	Delta shock waves in conservation laws with impulsive moving source: some results obtained by multiplying distributions	Journal of Nonlinear Mathematical Physics 60 (2019), no. 2	214-227
Sarrico, C. O. R.; Paiva, A.	Distributions as initial values in a triangular hyperbolic system of conservation laws	Proceedings of the Royal Society of Edinburgh (2019), Section A: Mathematics
Scala, R., Van Goethem, N.	Variational evolution of dislocations in single crystals	J. Nonlinear Sci. 29 (2019), no. 1	319–344
Scala, R.,Van Goethem, N.	A variational approach to single crystals with dislocations	SIAM J.Math. Anal. 51 (2019), no. 1	489–531
Vilela Mendes, R.	Commutative or noncommutative spacetime? Two length scales of noncommutativity	Physical Review D 99	123006
Vilela Mendes, R.	Non-commutative probability and non-commutative processes: Beyond the Heisenberg algebra	Journal of Mathematical Physics 60 (2019)	093501

Book Chapters

Francisco Rodrigues, J.; Santos, Lisa

Variational and Quasi-Variational Inequalities with Gradient Type Constraints,

Topics in Applied Analysis and Optimisation

CIM Series in Mathematical Sciences,Springer (2019) pp 319-361

Edited Books

Hintermüller, M., Rodrigues, J. F. (editors)

Topics in Applied Analysis and Optimisation

CIM Series in Mathematical Sciences, Springer Nature Switzerland (2019)

2018

Papers in International Journals

A. Carlen, E.; C. Carvalho, M.; Einav, A.

Entropy production inequalities for the Kac walk

Kinet. Relat. Models 11 (2018), no. 2

219-238

Aguiar, M.; Stollenwerk, N.

Dengvaxia eﬃcacy dependency on serostatus: a closer look at more recent data

Clinical Infectious Diseases 66 (2018)

641–642

Aguiar, M.; Stollenwerk, N.

Dengvaxia: age as surrogate for serostatus

The Lancet Infectious Diseases 18 (2018), no. 3

245

Antontsev, S., Kuznetsov, I., Shmarev, S.

Global higher regularity of solutions to singular p(x, t)-parabolic equations

Journal of Mathematical Analysis and Applications 466 (2018)

238-263

Beirão-da-Veiga, H.

On the truth, and limits, of a full equivalence p ∼ = v2 in the regularity theory of the Navier-Stokes equations. A point of view.

J. Math. Fluid Mech. 20 (2018)

889-898

Bonheure, D., Földes, J., Moreira dos Santos, E., Saldaña, A., and Tavares, H.

Paths to uniqueness of critical points and applications to partial differential equations

Transactions of the American Math Society

Caetano, D., Sanchez, L.

Remarks on a semilinear system in ℝn motivated by difference equations

Mathematica Slovaca 68, no.5

1075-1082

Candito, P., Livrea, R., Sanchez, L., Zamora, M.

Positive solutions of Dirichlet and homoclinic type for a class of singular equations

Comput. Math. Appl. 73 (2017), no. 8

1724–1740

Carlen, Eric A. , Carvalho, Maria C. and Einav, Amit

Entropy Production Inequalities for the Kac Walk

Kinet. Rel. Mod. 11 (2018), mo. 2

219–238

Correia, Simão, Figueira, Mário

Existence and stability of the spatial plane waves for the incompressible Navier-Stokes in R^3

J. Math. Fluid Mech. 20 (2018), no.1

189-197

Cristina Barroso, A.; Zappale, E.

Relaxation for Optimal Design Problems with Non-standard Growth

Appl. Math. Optim. (2018)

1-32

de Oliveira, H. B., Paiva, A.

A Stationary One-Equation Turbulent Model with Applications in Porous Media

Journal of Math. Fluid Mechanics 20 (2018), no. 2

263-287

de Oliveira, H. B.

A Note on the Existence for a Model of Turbulent Flows Through Porous Media

Springer Proceedings in Mathematics and Statistics 230 (2018)

21-38

Dias, João-Paulo, Freitas, Pedro

Decay of solutions for a class of nonlinear Schrödinger equations in ℝ and the stability of shock profiles for a quasilinear Benney system

Nonlinearity 31 (2018)

1110–1119

Dias, João-Paulo; LeFloch, Philippe G.

A new approach to the Cauchy and Goursat problems for the nonlinear Wheeler-DeWitt equation

NoDEA Nonlinear Differential Equations Appl. 25 (2018), Art. 10

18 pp.

Faria, T.

Permanence for a class of non-autonomous delay differential systems

Electron. J. Qual. Theory Differ. Equ. (2018), Paper No. 49,

1-15

Faria, T.; Obaya, R.; Sanz, A. M.

Asymptotic behaviour for a class of non-monotone delay differential systems with applications

J. Dyn. Diff. Que. 30 (2018)

911-935

Ligeiro, R. and Vilela Mendes, R.

Detecting and quantifying ambiguity: a neural network approach

Soft Computing 22 (2018)

2695 - 2703

Francisco Rodrigues, J.; Santos, L.

Variational and Quasi-Variational Inequalities with Gradient Type Constraints

Madzvamuse, A., Barreira, R.

Domain-growth-induced patterning for reaction-diffusion systems with linear cross-diffusion

Discrete & Continuous Dynamical Systems-B

501-531

Marcon, D.; Francisco Rodrigues, J.; Teymurazyan, R.

Homogenization of obstacle problems in Orlicz-Sobolev spaces

2018

14 pp.

Miranda, F.; Francisco Rodrigues, J.; Santos, L.

Evolutionary quasi-variational and variational inequalities with constraints on the derivatives

Adv. Nonlinear Anal. (2018)

Rebelo, C. and Simões, A.

Periodic linear motions with multiple collisions in a forced Kepler type problem

SIAM J. Numer. Anal. 51 (2013), no. 6

3483–3504

Saldaña, A., and Tavares, H.

Least energy nodal solutions of Hamiltonian elliptic systems with Neumann boundary conditions

Journal of Differential Equations (published online in 2018)

Sarrico, C.O.R. and Paiva, A.

Newton´s second law and the multiplication of distributions

Journal of Mathematical Physics 59 (2018)

Sarrico, C.O.R.

Multiplication of distributions and a nonlinear model in elastodynamics

Pacific Journal of Mathematics 294 (2018), no. 1

195-212

Sarrico, C.O.R.

Multiplication of distributions and travelling wave solutions for the Keyfitz-Kranzer system

Taiwanese Journal of Mathematics 22 (2018), no. 3

677-693

Skwara, U., Mateus, L., Filipe, R., Rocha, F., Aguiar, M., Stollenwerk, N.

Superdiffusion and epidemiological spreading

Ecological Complexity 36 (2018)

Soave, N., Tavares, H., Terracini, S., and Zilio, A.

Variational problems with long-range interaction

Arch. Rational Mech. Anal. 228 (2018)

743–772

Vilela Mendes, R.

Quantum control of quasi-collision states: A protocol for hybrid fusion

Int. Journal of Modern Physics B 32 (2018), no. 11

Xavier, M., Van Goethem, N., Novotny, A.

A simplified model of fracking based on the topological derivative concept

Int. J. Sol. Struct. 139-140 (2018)

211-223

Accepted Papers 2018

Amstutz, S., Van Goethem, N.	The incompatibility operator: from Riemann's intrinsic view of geometry to a new model of elasto-plasticity	CIM Series in Mathematical Sci.
Caroccia, M., Cristoferi, R., Dietrich, L.	Equilibria Configurations for Epitaxial Crystal Growth with Adatoms	Arch. Rat. Mech, Anal.
Gidoni, P., Margheri, A.	Lower bound on the number of periodic solutions for asymptotically linear planar Hamiltonian systems''	DCDS-A
Muroya, Y., and Faria, T.	Attractivity of saturated equilibria for Lotka-Volterra systems with infinite delays and feedback controls	Discrete Contin. Dyn. Syst. Ser. B
Scala, R.	Optimal estimates for the triple junction function and other surprising aspects of the area functional	An. Sc. Norm. Sup. Pisa
Scala, R., Van Goethem, N.	Variational evolution of dislocations in single crystals	J. Nonlinear Sci.
Scala, R., Van Goethem, N.	A Variational Approach to Single Crystals with Dislocations	SIAM journal on Mathematical Analysis
Scala, R., Van Goethem, N.	Analytic and geometric properties of dislocation singularities	Proc. R. Soc. Edinburgh: Section A Math.

2017

Papers in International Journals

Aguirre, C., Franzese, G., Esposito, F., Vázquez, L., Vilela Mendes, R., Caro, R., Ramírez-Nicolás, N., Cozzolino, F., Popa, C. I.	Signal-adapted tomography as a tool for dust devil detection	Aeolian Research 29 (2017)	12-22
Almeida, Rui M. P.; Antontsev, Stanislav N.; Duque, José C. M.	Discrete solutions for the porous medium equation with absorption and variable exponents	Math. Comput. Simulation 137 (2017)	109–129
Almeida, Rui M. P.; Antontsev, Stanislav N.; Duque, José C. M.	On the finite element method for a nonlocal degenerate parabolic problem	Comput. Math. Appl. 73 (2017), no. 8	1724–1740
Amstutz, Samuel; Van Goethem, N.	Incompatibility-governed elasto-plasticity for continua with dislocations	Proc. A. 473 (2017), no. 2199	21 pp.
Antontsev, S. N., Shmarev, S. I.	Higher regularity of solutions of singular equations with variable nonlinearity	Applicable Analysis (2017)	1-22
Antontsev, S. N., Shmarev, S. I.	The energy method. Application to PDEs of hydrodynamics with nonstandard growth	J. Phys: Conf. Ser. (2017), no. 894
Antontsev, S. N.; Khompysh, Kh.	Generalized Kelvin-Voigt equations with p-Laplacian and source/absorption terms	J. Math. Anal. Appl. 456 (2017), no. 1	99–116
Antontsev, S. N.; Khompysh, Kh.	Kelvin-Voight equation with p-Laplacian and damping term: existence, uniqueness and blow-up	J. Math. Anal. Appl. 446 (2017), no. 2	1255–1273
Antontsev, S. N.; Kuznetsov, I. V.	Existence of entropy measure-valued solutions for forward-backward p-parabolic equations	Sib. Èlektron. Mat. Izv. 14 (2017)	774–793
Antunes, Pedro R. S.; Barbarosie, Cristian; Toader, Anca-Maria	Detection of holes in an elastic body based on eigenvalues and traces of eigenmodes	J. Comput. Phys. 333 (2017)	352–368
Araújo, T., Faustino, R.	The Topology of Inter-industry Relations from the Portuguese National Accounts	Physica A: Statistical Mechanics and its Applications 479 (2017)	236-248
Baía, Margarida; Barroso, Ana Cristina; Matias, José	A model for phase transitions with competing terms	Q. J. Math. 68 (2017), no. 3	957–1000
Barbarosie, Cristian; Tortorelli, Daniel A.; Watts, Seth	On domain symmetry and its use in homogenization	Comput. Methods Appl. Mech. Engrg. 320 (2017)	1–45
Barroso, Ana Cristina; Matias, José; Morandotti, Marco; Owen, David R.	Explicit formulas for relaxed disarrangement densities arising from structured deformations	Math. Mech. Complex Syst. 5 (2017), no. 2	163–189
Barroso, Ana Cristina; Matias, José; Morandotti, Marco; Owen, David R	Second-order structured deformations: relaxation, integral representation and applications	Arch. Ration. Mech. Anal. 225 (2017), no. 3	1025–1072
Barroso, Ana Cristina; Matias, José; Santos, Pedro Miguel	Differential inclusions and A-quasiconvexity	Mediterr. J. Math. 14 (2017), no. 3, Art. 116	14 pp.
Beirão da Veiga, H.	On the extension to slip boundary conditions of a Bae and Choe regularity criterion for the Navier-Stokes equations. The half-space case	J. Math. Anal. Appl. 453 (2017), no. 1	212-220
Bock, Wolfgang; Fattler, Torben; Streit, Ludwig	Stochastic quantization for the fractional Edwards measure	Acta Appl. Math. 151 (2017)	81–88
Bonetti, Elena; Rocca, Elisabetta; Scala, Riccardo; Schimperna, Giulio	On the strongly damped wave equation with constraint	Comm. Partial Differential Equations 42 (2017), no. 7	1042–1064
Cabada, Alberto; Enguiça, Ricardo; López-Somoza, Lucía	Positive solutions for second-order boundary-value problems with sign changing Green's functions	Electron. J. Differential Equations (2017), no. 245	1-17
Caetano, Diogo; Faria, T.	Stability and attractivity for Nicholson systems with time-dependent delays	Electron. J. Qual. Theory Differ. Equ. (2017), no. 63	1-19
Caroccia, M.	Cheeger N-clusters	Calc. Var. Partial Differential Equations 56 (2017), no. 2, Art. 30	35 pp.
Correia, Simão; Figueira, Mário	Spatial plane waves for the nonlinear Schrödinger equation: local existence and stability results	Comm. Partial Differential Equations 42 (2017), no. 4	519–555
de Oliveira, H. B.; Paiva, A.	Existence for a one-equation turbulent model with strong nonlinearities	J. Elliptic Parabol. Equ. 3 (2017), no. 1-2	65–91
de Oliveira, H.B.; Paiva, A.	A stationary one-equation turbulent model with applications in porous media	J. Math. Fluid Mech (2017)	1–25
Dias, João-Paulo; Oliveira, Filipe	On a quasilinear nonlocal Benney system	J. Hyperbolic Differ. Equ. 14 (2017), no. 1	135–156
Enguiça, R., Ortega, R.	Functions with Average and Bounded Motions of a Forced Discontinuous	Journal of Dynamics and Differential Equations (2017)	1-14
Faria, T.	Periodic solutions for a non-monotone family of delayed differential equations with applications to Nicholson systems	J. Differential Equations 263 (2017), no. 1	509–533
Faria, T., Caetano, D.	Stability and attractivity for Nicholson systems with time-dependent delays	Electron. J. Qual. Theory Differ. Que. 63 (2017)	1-19
Faria, T., Obaya, R., Sanz, A. M.	Asymptotic behaviour for a class of non-monotone delay differential systems with applications	J. Dyn. Diff. Equ. (2017)	1-14
Faria, T., Oliveira, J. J.	Existence of positive periodic solutions for scalar delay differential equations with and without impulses	J. Dyn. Diff (2017)	1-23
Ferreira, Jorge; de Oliveira, H. B.	Parabolic reaction-diffusion systems with nonlocal coupled diffusivity terms	Discrete Contin. Dyn. Syst. 37 (2017), no. 5	2431–2453
Gidoni, Paolo; DeSimone, Antonio	On the genesis of directional friction through bristle-like mediating elements	ESAIM Control Optim. Calc. Var. 23 (2017), no. 3	1023–1046
Luís da Silva, José, Streit, L.	Form factors for random paths and polymer models, a progress report	AIP Conference Proceedings 1871 (2017), no. 1
Margheri, Alessandro; Ortega, Rafael; Rebelo, Carlota	First integrals for the Kepler problem with linear drag	Celestial Mech. Dynam. Astronom. 127 (2017), no. 1	35–48
Margheri, Alessandro; Ortega, Rafael; Rebelo, Carlota	On a family of Kepler problems with linear dissipation	Rend. Istit. Mat. Univ. Trieste 49 (2017)	265–286
Margheri, Alessandro; Rebelo, Carlota; Gomes, M. Gabriela M.	Heterogeneity in disease risk induces falling vaccine protection with rising disease incidence	Dyn. Syst. 32 (2017), no. 1	148–163
Negri, M.; Scala, R.	A quasi-static evolution generated by local energy minimizers for an elastic material with a cohesive interface	Nonlinear Anal. Real World Appl. 38 (2017)	271–305
Pistoia, A., Tavares, H.	Spiked solutions for Schrödinger systems with Sobolev critical exponent: the cases of competitive and weakly cooperative interactions	J. Fixed Point Theory Appl. 19 (2017), no. 1	407–446
Rocca, E., Scala, R.	A rigorous sharp interface limit of a diffuse interface model related to tumor growth	J. Nonlinear Sci. 27 (2017). no. 3	847-872
Sarrico, C. O. R.; Paiva, A	Delta Shock Waves in the Shallow Water System	Journal of Dynamics and Differential Equations (2017), no. 3	328–345
Sarrico, C. O. R.; Paiva, A.	New distributional travelling waves for the nonlinear Klein-Gordon equation	Differential Integral Equations 30 (2017), no. 11-12	853–878
Sarrico, C. O. R.; Paiva, A.	The multiplication of distributions in the study of a Riemann problem in fluid dynamics	J. Nonlinear Math. Phys. 24 (2017), no. 3	328–345
Scala, Riccardo	A weak formulation for a rate-independent delamination evolution with inertial and viscosity effects subjected to unilateral constraint	Interfaces Free Bound. 19 (2017), no. 1	79–107
Scala, Riccardo	Limit of viscous dynamic processes in delamination as the viscosity and inertia vanish	ESAIM Control Optim. Calc. Var. 23 (2017), no. 2	593–625
Scala, Riccardo; Schimperna, Giulio	A contact problem for viscoelastic bodies with inertial effects and unilateral boundary constraints	European J. Appl. Math. 28 (2017), no. 1	91–122
Soave, N., Tavares, H., Terracini, S., Zilio, A.	Variational Problems with Long-Range Interaction	Arch. Ration. Mech. Anal. 228 (2018), no. 3	743–772
Stollenwerk, N.; Sommer, P. F.; Kooi, B. W.; Mateus, L.; Ghaffari, P.; Aguiar, M.	Hopf and torus bifurcations, torus destruction and chaos in population biology	Ecological Complexity 30 (2017)	91-99
Van Goethem, N.	Front migration for the dislocation strain in single crystals	Commun. Math. Sci. 15 (2017), no. 7	1843–1866
Van Goethem, N.	Incompatibility-governed singularities in linear elasticity with dislocations	Math. Mech. Solids 22 (2017), no. 8,	1688–1695
Vilela Mendes, R.	A consistent measure for lattice Yang-Mills	Internat. J. Modern Phys. A 32 (2017), no. 2-3	15 pp.
Vilela Mendes, R.	Current algebra, statistical mechanics and quantum models	J. Stat. Mech. Theory Exp. (2017), no. 11	23 pp.
Vilela Mendes, R.	Superprocesses on ultradistributions	Stochastics 89 (2017), no. 6-7	896–909
Vilela Mendes, R.	The geometry of noncommutative space-time	Internat. J. Theoret. Phys. 56 (2017), no. 1	259–269
Vilela Mendes, R.; Bizaro, João P. S.	Analytical study of grouwth estimates, control of fluctuations and conservative structures in a two-field model of the scrape-off layer	Physics of Plasmas 24 (2017), no. 1
Xavier, M., Van Goethem, N., Novotny, A. A., Farias, J. M. C., Fancello, E. A.	Topological Derivative-Based Fracture Modelling in Brittle Materials: A Phenomenological Approach	Engineering Fracture Mechanics 179 (2017)	13-27

Book Chapters

Toader, Anca-Maria; Barbarosie, Cristian

Optimization of eigenvalues and eigenmodes by using the adjoint method

Topological optimization and optimal transport

142–158, Radon Ser. Comput. Appl. Math. 17, De Gruyter, Berlin, 2017

Madzvamuse, A., Gerisch, A., Barreira, R.

Cross-diffusion in reaction-diffusion models: analysis, numerics and applications

Progress in Industrial Mathematics at ECMI 2016

Springer Verlag

2016

Papers in international journals 2016

Aguiar, M; Halstead, Scott B.	Dengue vaccine and the 2016 Olympics	The Lancet 388 (2016), no. 10041	237-238
Aguiar, M; Stollenwerk, N.; Halstead, Scott B.	The risks behind DengVaxia recommendation	The Lancet Infectious Diseases 16 (2016), no. 8	882-883
Almeida, Rui M. P.; Antontsev, Stanislav N.; Duque, José C. M.; Ferreira, Jorge	A reaction-diffusion model for the non-local coupled system: existence, uniqueness, long-time behaviour and localization properties of solutions	IMA J. Appl. Math. 81 (2016), no. 2	344–364
Amstutz, Samuel; Van Goethem, Nicolas	Analysis of the incompatibility operator and application in intrinsic elasticity with dislocations	SIAM J. Math. Anal. 48 (2016), no. 1	320–348
Antontsev, S. N.; de Oliveira, H. B.	Evolution problems of Navier-Stokes type with anisotropic diffusion	Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. RACSAM 110 (2016), no. 2	729–754
Antontsev, S. N.; Díaz, J. I.	Finite speed of propagation and waiting time for local solutions of degenerate equations in viscoelastic media or heat flows with memory	J. Elliptic Parabol. Equ. 2 (2016), no. 1-2	207–216
Antontsev, S. N.; Kuznetsov, I. V.	Singular perturbations of forward-backward p-parabolic equations	J. Elliptic Parabol. Equ. 2 (2016), no. 1-2	357–370
Antontsev, S.; Shmarev, S.	On the localization of solutions of doubly nonlinear parabolic equations with nonstandard growth in filtration theory	Appl. Anal. 95 (2016), no. 10	2162–2180
Antontsev, Stanislav; Miranda, Fernando; Santos, Lisa	Blow-up and finite time extinction for p(x,t)-curl systems arising in electromagnetism	J. Math. Anal. Appl. 440 (2016), no. 1	300–322
Antontsev, Stanislav; Shmarev, Sergey; Simsen, Jacson; Simsen, Mariza S.	On the evolution p-Laplacian with nonlocal memory	Nonlinear Anal. 134 (2016)	31–54

Araújo, T.; Ferreira, E. M.	The topology of African exports: Emerging patterns on spanning trees	Physica A 426 (2016)	962-976
B. F. Almeida, I. Correia, F. Saldanha-da-Gama	Priority-Based Heuristics for the Multi-Skill Resource Constrained Project Scheduling Problem	Expert Systems with Applications 57 (2016)	91- 103
Barroso, Ana Cristina; Matias, José; Morandotti, Marco; Owen, David R.	Explicit formulas for relaxed disarrangement densities arising from structured deformations	Math. Mech. Complex Syst. 5 (2017), no. 2	163–189
Bornales, Jinky; Oliveira, Maria João; Streit, Ludwig	Chaos decomposition and gap renormalization of Brownian self-intersection local times	Rep. Math. Phys. 77 (2016), no. 2	141–152
Correia, Simão	Characterization of ground-states for a system of M coupled semilinear Schrödinger equations and applications	J. Differential Equations 260 (2016), no. 4	3302–3326
Correia, Simão	Ground-states for systems of M coupled semilinear Schrödinger equations with attraction-repulsion effects: characterization and perturbation results	Nonlinear Anal. 140 (2016)	112–129
Correia, Simão	Stability of ground-states for a system of M coupled semilinear Schrödinger equations	NoDEA Nonlinear Differential Equations Appl. 23 (2016), no. 3, Art. 26	14 pp.
Dias, João-Paulo; Figueira, Mário; Konotop, Vladimir V.	Coupled nonlinear Schrödinger equations with a gauge potential: existence and blowup	Stud. Appl. Math. 136 (2016), no. 3	241–262
Dias, João-Paulo; Figueira, Mário; Konotop, Vladimir V.	The Cauchy problem for coupled nonlinear Schrödinger equations with linear damping: local and global existence and blowup of solutions	Chin. Ann. Math. Ser. B 37 (2016), no. 5	665–682
Dias, João-Paulo; Figueira, Mário; Oliveira, Filipe	Existence and linearized stability of solitary waves for a quasilinear Benney system	Proc. Roy. Soc. Edinburgh Sect. A 146 (2016), no. 3	547–564
Duque, José C. M.; Almeida, Rui M. P.; Antontsev, Stanislav N.; Ferreira, Jorge	The Euler-Galerkin finite element method for a nonlocal coupled system of reaction-diffusion type	J. Comput. Appl. Math. 296 (2016)	116–126
Faria, Teresa	Persistence and permanence for a class of functional differential equations with infinite delay	J. Dynam. Differential Equations 28 (2016), no. 3-4	1163–1186
Faria, Teresa; Oliveira, José J.	A note on stability of impulsive scalar delay differential equations	J. Qual. Theory Differ. Equ. (2016), Paper No. 69	14 pp.
Faria, Teresa; Oliveira, José J.	On stability for impulsive delay differential equations and application to a periodic Lasota-Wazewska model	Discrete Contin. Dyn. Syst. Ser. B 21 (2016), no. 8	2451–2472
Ferreira, M. J.; Simões, B. A.; Tribuzy, R.	Isometric immersions from a Kähler manifold into the quaternionic projective space	Manuscripta Math. 151 (2016), no. 1-2	243–254
Garrione, Maurizio; Rebelo, Carlota	Persistence in seasonally varying predator-prey systems via the basic reproduction number	Nonlinear Anal. Real World Appl. 30 (2016)	73–98
Gavioli, Andrea; Sanchez, Luís	Positive homoclinic solutions to some Schrödinger type equations	Differential Integral Equations 29 (2016), no. 7-8	665–682
Gomes, M. G. M. ; Gjini, E.; Lopes, J. S.; Souto-Maior, C; Rebelo, C.	A theoretical framework to identify invariant thresholds in infectious disease epidemiology	Journal of Theoretical Biology 395 (2016)	97- 102
Halstead, Scott B. Aguiar, M.	Dengue vacines: Are they safe for travelers?	Travel Med. Infect. Dis. 14 (2016), no. 4	378-383
Madzvamuse, Anotida; Ndakwo, Hussaini S.; Barreira, Raquel	Stability analysis of reaction-diffusion models on evolving domains: the effects of cross-diffusion	Discrete Contin. Dyn. Syst. 36 (2016), no. 4	2133–2170
Margheri, A.; Torres, Pedro J.	Chaotic Dynamics of the Kepler Problem with Oscillating Singularity	Advanced Nonlinear Studies 16 (2016), no. 3	1536-1365
Mateus, L.; Ghaffari, P; Skwara, U.; Rocha, F.; Aguiar, M.; Masoero, D.; Stollenwerk, N.	Semiclassical approximations of stochastic epidemiological processes towards parameter estimation using as prime example the SIS system with import	Ecological Complexity 27 (2016)	63-73
Mateus, L.; Masoero, D.; Rocha, F.; Aguiar, M.; Skwara, U.; Ghaffari, P.; Zambrini, J. C.; Stollenwerk, N.	Epidemiological models in semiclassical approximation: an analytically solvable model as a test case	Math. Methods Appl. Sci. 39 (2016), no. 16	4914–4922
Rasga, João; Sernadas, Cristina; Sernadas, Amílcar	Preservation of admissible rules when combining logics	Rev. Symb. Log. 9 (2016), no. 4	641–663
Rocha, Filipe; Mateus, Luís; Skwara, Urszula; Aguiar, Maíra; Stollenwerk, Nico	Understanding dengue fever dynamics: a study of seasonality in vector-borne disease models	. Int. J. Comput. Math. 93 (2016), no. 8	1405–1422
Rocha, P.; Raischel, F.; P. Boto, João; G. Lind, P.	Uncovering the evolution of nonstationary stochastic variables: The example of asset volume-price fluctuations	Phys. Rev. E 93 (2016), no.5
Scala, Riccardo; Van Goethem, Nicolas	Constraint reaction and the Peach-Koehler force for dislocation networks	Math. Mech. Complex Syst. 4 (2016), no. 2	105–138
Scala, Riccardo; Van Goethem, Nicolas	Currents and dislocations at the continuum scale	Methods Appl. Anal. 23 (2016), no. 1	1–34
Van Goethem, Nicolas	Dislocation-induced linear-elastic strain dynamics by a Cahn-Hilliard-type equation	Math. Mech. Complex Syst. 4 (2016), no. 2	169–195
Van Goethem, Nicolas	The Frank tensor as a boundary condition in intrinsic linearized elasticity	. J. Geom. Mech. 8 (2016), no. 4	391–411
Van Goethem, Nicolas	Direct expression of incompatibility in curvilinear systems	ANZIAM J. 58 (2016), no. 1	33–50
Vilela Mendes, R.	An extended Dirac equation in noncommutative spacetime	Modern Phys. Lett. A 31 (2016), no. 15	9 pp.
Vilela Mendes, R.	Superprocesses on ultradistributions	STOCHASTICS 89 (2016), no. 6-7	896-909
Vilela Mendes, R.; Mendes, Hugo C.; Araújo, Tanya	Signals on graphs: transforms and tomograms	Phys. A 450 (2016)	1–17

Book Chapters 2016

Araújo, T.; Banisch, S.

Mulidimensional Analysis of Linguistic Networks

Towards a Theory of Complex Linguistic Networks

107-131, Understanding Complex Systems, Springer, Berlin, 2016

Mendes, Rui Vilela

From market data to agente-based models and stochastic differential equations

From particle systems to partial differential equations

225-242, Springer Proc. Math. Stat. 162, Springer, [Cham], 2016

Mendes, Rui Vilela

Stochastic solutions of nonlinear PDE’s and na extension of superprocesses

Stochastic and infinite dimensional analysis

243-262, Trends Math, Birkhäuser/Springer, [Cham], 2016

2015

Papers in international journals

Aguiar, M.	Scaling up complexity in host-pathogens interaction models Comment on “Coupled disease-behavior dynamics on complex networks: A review” by Z. Wang et al	Physics of Life Reviews 15 (2015)	41–42
Aguiar, M.; Coelho, G.; Rocha, F.; Mateus, L.; Eduardo Marques Pessanha, J.; Stollenwerk, N.	Dengue transmission during the 2014 FIFA World Cup in Brazil	The Lancet Infectious Diseases 7 (2015)	765–766
Aguiar, M.; Rocha, F.; Eduardo Marques Pessanha, J.; Mateus, L.; Stollenwerk, N.	Carnival or football, is there a real risk for acquiring dengue fever in Brazil during holidays seasons?	Nature Scientific Reports 5 (2015)
Antontsev, Stanislav N.; Shmarev, Sergey	On the Cauchy problem for evolution p(x)-Laplace equation	Port. Math. 72 (2015), no. 2-3	125–144
Beirão da Veiga, H.; Rodrigues, J. F.	To the jubilee of João Paulo de Carvalho Dias on the occasion of his seventieth anniversary	Port. Math. 72 (2015), no. 2-3	81–82
Bock, Wolfgang; Oliveira, Maria João; da Silva, José Luís; Streit, Ludwig	. Polymer measure: Varadhan's renormalization revisited	Rev. Math. Phys. 27 (2015), no. 3	5 pp.
Borges, P.; Martins, I.; Bergseng, E.; Eid, T.; Gobakken, T.	Effects of site productivity on forest harvest scheduling subject to green-up and maximum area restrictions	Scandinavian Journal of Forest Research (2015)	1851-1891
Botton, Quentin; Fortz, Bernard; Gouveia, Luis	On the hop-constrained survivable network design problem with reliable edges	Comput. Oper. Res. 64 (2015)	159–167
Carlen, Eric; Carvalho, Maria C.; Degond, Pierre; Wennberg, Bernt	A Boltzmann model for rod alignment and schooling fish	Nonlinearity 28 (2015), no. 6	1783–1803
Cazenave, Thierry; Correia, Simão; Dickstein, Flávio; Weissler, Fred B.	A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation	São Paulo J. Math. Sci. 9 (2015), no. 2	146–161
Correia, Simão	Blowup for the nonlinear Schrödinger equation with an inhomogeneous damping term in the L2-critical case	Commun. Contemp. Math. 17 (2015), no. 3	16 pp.
de Oliveira, Hermenegildo Borges	Anisotropically diffused and damped Navier-Stokes equations	Discrete Contin. Dyn. Syst. 2015, Dynamical systems, differential equations and applications. 10th AIMS Conference. Suppl.	349–358
Duque, José C. M.; Almeida, Rui M. P.; Antontsev, Stanislav N.	Application of the moving mesh method to the porous medium equation with variable exponent	Math. Comput. Simulation 118 (2015)	177–185
Faria, Teresa; Muroya, Yoshiaki	Global attractivity and extinction for Lotka-Volterra systems with infinite delay and feedback controls	Proc. Roy. Soc. Edinburgh Sect. A 145 (2015), no. 2	301–330
Finkelshtein, Dmitri; Kondratiev, Yuri; Kutoviy, Oleksandr; Oliveira, Maria João	Dynamical Widom-Rowlinson model and its mesoscopic limit	J. Stat. Phys. 158 (2015), no. 1	57–86
Garrione, Maurizio; Sanchez, Luís	Monotone traveling waves for reaction-diffusion equations involving the curvature operator	Bound. Value Probl. 45 (2015)	31 pp.
Gavioli, Andrea; Sanchez, Luís	A variational property of critical speed to travelling waves in the presence of nonlinear diffusion	Appl. Math. Lett. 48 (2015)	47–54
Madzvamuse, Anotida; Ndakwo, Hussaini S.; Barreira, Raquel	Cross-diffusion-driven instability for reaction-diffusion systems: analysis and simulations	J. Math. Biol. 70 (2015), no. 4	709–743
Maggiani, Giovanni Battista; Scala, Riccardo; Van Goethem, Nicolas	A compatible-incompatible decomposition of symmetric tensors in Lp with application to elasticity	Math. Methods Appl. Sci. 38 (2015), no. 18	5217–5230
Margheri, Alessandro; Rebelo, Carlota	Multiplicity of solutions of asymptotically linear Dirichlet problems associated to second order equations in R2n+1	Topol. Methods Nonlinear Anal. 46 (2015), no. 2	1107–1118
Margheri, Alessandro; Rebelo, Carlota; Gomes, M. Gabriela M.	On the correlation between variance in individual susceptibilities and infection prevalence in populations	J. Math. Biol. 71 (2015), no. 6-7	1643–1661
Mendes, Hugo C.; Murta, Alberto; Mendes, R. Vilela	Long range dependence and the dynamics of exploited fish populations	Adv. Complex Syst. 18 (2015), no. 7-8	14 pp.
Rocha, P.; Raischel, F.; Boto, J. Pedro; Lind, Pedro G.	Optimal models of extreme volume-prices are time dependente	Journal of Physics: Conference Series 574 (2015), conference 1
Rodrigues, J. F.	On the mathematical analysis of thick fluids	J. Math. Sci. (N.Y.) 210 (2015), no. 6	835–848
Rodrigues, J. F.; Santos, L.	Solutions for linear conservation laws with gradient constraint	Port. Math. 72 (2015), no. 2-3	161–192
Saraiva, Luís Manuel Ribeiro	Étienne Bézout in Portugal: the reform of the Portuguese University and beyond (1772–1838)	Historia Math. 42 (2015), no. 1	14–46
Sarrico, C. O. R.	The Riemann problem for the Brio system: a solution containing a Dirac mass obtained via a distributional product	Russ. J. Math. Phys. 22 (2015), no. 4	518–527
Sarrico, C. O. R.; Paiva, A.	Products of distributions and collision of a δ-wave with a δ′-wave in a turbulent model	J. Nonlinear Math. Phys. 22 (2015), no. 3	381–394
Shelukhin, V. V.; Chemetov, N. V.	Global solvability of the one-dimensional Cosserat-Bingham fluid equations	J. Math. Fluid Mech. 17 (2015), no. 3	495–511
Stollenwerk, N., Aguiar, M., Mateus, L., Rocha, F., Skwara, U., & Ghaffari, P.	Prediction and predictability in population biology: noise and chaos	Math. Model. Nat. Phenom. 10 (2015)	141–164
Stollenwerk, N.; Mateus, L.; Rocha, F.; Skwara, U.; Ghaffari, P.; Aguiar, M.	Prediction and predictability in population biology: noise and chaos	Math. Model. Nat. Phenom. 10 (2015), no. 2	142–162
Van Goethem, Nicolas	Cauchy elasticity with dislocations in the small strain assumption	Appl. Math. Lett. 46 (2015)	94–99
Vilela Mendes, R.	Non-commutative tomography and signal processing	Physica Scripta 90 (2015), no. 7
Vilela Mendes, R.; Oliveira, M.;J. Rodrigues, A. M.	No-arbitrage, leverage and completeness in a fractional volatility model	Phys. A 419 (2015)	470–478

Book Chapters

Antontsev, Stanislav; Shmarev, Sergey

Evolution PDEs with nonstandard growth conditions

Existence, uniqueness, localization, blow-up

Atlantis Studies in Differential Equations 4, Atlantis Press, Paris, 2015

Magalhães, T.; Lopes, S.; Gomes, J. J.; Seixo, F.

The Length of Hospital Stay in Acute Myocardial Infarction: A Predictive Model with Laboratory and Administrative Data

New Contributions in Information Systems and Technologies

Advances in Intelligent Systems and Computing 353, Springer International Publishing; 2015

Oliveira, Maria João; Mendes, Rui Vilela

Fractional Boson gas and fractional Poisson measure in infinite dimensions

From particle systems to partial differential equations

293–312, Springer Proc. Math. Stat. 129, Springer, Cham, 2015

2014

Papers in international journals

Afonso, P.; Ramos, M. R.; S. Saraiva, S.; Moreira, A. C.; Figueira, M. L.	Assessing the relation between career satisfaction in psychiatry with lifelong learning and scientific activity	Psychiatry Research 217 (2014), no. 3	210–214
Aguiar, M., Paul, R., Sakuntabhai, A. Stollenwerk, N.	Are we modeling the correct data set? Minimizing false predictions for dengue fever in Thailand	Epidemiology and Infection 142 (2014), no. 11	2447—2459
Aguirre, C.; Mendes, Rui V.	Signal recognition and adapted filtering by non-commutative tomography	IET Signal Processing 8 (2014)	67-75
Amstutz, Samuel; Novotny, Antonio André; Van Goethem, Nicolas	Minimal partitions and image classification using a gradient-free perimeter approximation	Inverse Probl. Imaging 8 (2014), no. 2	361–387
Amstutz, Samuel; Novotny, Antonio André; Van Goethem, Nicolas	Topological sensitivity analysis for elliptic differential operators of order 2m	J. Differential Equations 256 (2014), no. 4	1735–1770
Antontsev, S. N.; de Oliveira, H. B.	Analysis of the existence for the steady Navier-Stokes equations with anisotropic diffusion	Adv. Differential Equations 19 (2014), no. 5-6	441–472
Antontsev, S. N.; de Oliveira, H. B.	Asymptotic behavior of trembling fluids	Nonlinear Anal. Real World Appl. 19 (2014)	54–66
Antontsev, S. N.; Shmarev, S. I.	Doubly degenerate parabolic equations with variable nonlinearity II: Blow-up and extinction in a finite time	Nonlinear Anal. 95 (2014)	483–498
Antontsev, S.; Ferreira, J.	On a viscoelastic plate equation with strong damping and p→(x,t)-Laplacian existence and uniqueness	Differential Integral Equations 27 (2014), no. 11-12	1147–1170
Antontsev, Stanislav; Dias, João-Paulo; Figueira, Mário	Complex Ginzburg-Landau equation with absorption: existence, uniqueness and localization properties	J. Math. Fluid Mech. 16 (2014), no. 2	211–223
Araújo, T.; Eleuterio, S.; Mendes, R. Vilela	Portfolios and the geometry of the market	Physica A: Statistical Mechanics and its Applications 410 (2014)	226-235
Arruda, Lynnyngs K.; Chemetov, Nikolai V.	Embedding theorem for bounded deformations in domains with cusps	Math. Methods Appl. Sci. 37 (2014), no. 17	2739–2745
Barbarosie, Cristian; Toader, Anca-Maria	Optimization of bodies with locally periodic microstructure by varying the periodicity pattern	Netw. Heterog. Media 9 (2014), no. 3	433–451
Carlen, Eric A.; Carvalho, Maria C.; Loss, Michael	Spectral gap for the Kac model with hard sphere collisions	J. Funct. Anal. 266 (2014), no. 3	1787–1832
Castaing, C.; Monteiro Marques, M. D. P.; Raynaud de Fitte, P.	Some problems in optimal control governed by the sweeping process	J. Nonlinear Convex Anal. 15 (2014), no. 5	1043–1070
Cazenave, Thierry; Dias, João-Paulo; Figueira, Mário	Finite-time blowup for a complex Ginzburg-Landau equation with linear driving	J. Evol. Equ. 14 (2014), no. 2	403–415
Challal, S.; Lyaghfouri, A.; Rodrigues, J. F.; Teymurazyan, R.	On the regularity of the free boundary for quasilinear obstacle problems	Interfaces Free Bound. 16 (2014), no. 3	359–394
Chemetov, N. V.; Cipriano, F.	Inviscid limit for Navier-Stokes equations in domains with permeable boundaries	Appl. Math. Lett. 33 (2014)	6–11
Chemetov, Nikolai; Neves, Wladimir	On a generalized Muskat-Brinkman type problem	Interfaces Free Bound. 16 (2014), no. 3	339–357
Dias, João-Paulo; Figueira, Mário	On the blowup of solutions of a Schrödinger equation with an inhomogeneous damping coefficient	Commun. Contemp. Math. 16 (2014), no. 3	11 pp.
Dias, João-Paulo; Figueira, Mário; Konotop, Vladimir V.; Zezyulin, Dmitry A.	Supercritical blowup in coupled parity-time-symmetric nonlinear Schrödinger equations	Stud. Appl. Math. 133 (2014), no. 4	422–440
Duque, José C. M.; Almeida, Rui M. P.; Antontsev, Stanislav N.	Numerical study of the porous medium equation with absorption, variable exponents of nonlinearity and free boundary	Appl. Math. Comput. 235 (2014)	137–147
Faria, Teresa	A note on permanence of nonautonomous cooperative scalar population models with delays	Appl. Math. Comput. 240 (2014)	82–90
Faria, Teresa	Global dynamics for Lotka-Volterra systems with infinite delay and patch structure	Appl. Math. Comput. 245 (2014)	575–590
Faria, Teresa; Röst, Gergely	Persistence, permanence and global stability for an n-dimensional Nicholson system	J. Dynam. Differential Equations 26 (2014), no. 3	723–744
Ferreira, Maria João; Tribuzy, Renato	Parallel mean curvature surfaces in symmetric spaces	Ark. Mat. 52 (2014), no. 1	93–98
Gomes, Maria Gabriela M.; Lipsitch, M.; Wargo, Andrew R.; Kurath, G.; Rebelo, C.; Medley, Graham F.; Coutinho, A.	A Missing Dimension in Measures of Vaccination Impacts	Plos Pathogens 10 (2014)
Grasas, A.; Ramalhinho, H.; Pessoa, L. S.; Resende, M. G. C.; Caballé, I.; Barba, N.	On the Improvement of Blood Sample Collection at Clinical Laboratories	BMC Health Services Research 14 (2014), no. 12
Kooi, Bob W.; Aguiar, Maíra; Stollenwerk, Nico	Analysis of an asymmetric two-strain dengue model	Math. Biosci. 248 (2014)	128–139
Margheri, A.; Rebelo, C.; Torres, Pedro J.	On the use of Morse índex and rotation numbers for multiplicity results of resonant BVPs	Journal of Mathematical Analysis and Applications 413 (2014), no. 2	660-667
Margheri, Alessandro; Ortega, Rafael; Rebelo, Carlota	Dynamics of Kepler problem with linear drag	J. Math. Anal. Appl. 413 (2014), no. 2	660–667
Martins, Isabel; Ye, Mujing; Constantino, Miguel; da Conceição Fonseca, Maria; Cadima, Jorge	Modeling target volume flows in forest harvest scheduling subject to maximum area restrictions	TOP 22 (2014), no. 1	343–362
Rebelo, Carlota; Margheri, Alessandro; Bacaër, Nicolas	Persistence in some periodic epidemic models with infection age or constant periods of infection	Discrete Contin. Dyn. Syst. Ser. B 19 (2014), no. 4	1155–1170
Sarrico, C. O. R.	A distributional product approach to δ-shock wave solutions for a generalized pressureless gas dynamics system	Internat. J. Math. 25 (2014), no. 1	12 pp.
Sarrico, C. O. R.	New distributional global solutions for the Hunter-Saxton equation	Abstr. Appl. Anal. 2014	9 pp.
Sarrico, C. O. R.	The Brio system with initial conditions involving Dirac masses: a result afforded by a distributional product	Chin. Ann. Math. Ser. B 35 (2014), no. 6	941–954
Shrestha, J. K.; Benta, A.; Lopes, R.B.; Lopes, N.	A multi-objective analysis of a rural road network problem in the hilly regions of Nepal	Transportation Research Part A: Policy and Practice 64 (2014)	43-53
Van Goethem, Nicolas	Fields of bounded deformation for mesoscopic dislocations	Math. Mech. Solids 19 (2014), no. 5	579–600
Van Goethem, Nicolas	Thermodynamic forces in single crystals with dislocations	Z. Angew. Math. Phys. 65 (2014), no. 3	549–586

Book Chapters

Rodrigues, José Francisco; Tavares, Hugo

Increasing powers in a degenerate parabolic logistic equation.

Partial differential equations: theory, control and approximation

379–399, Springer, Dordrecht, 2014

Chemetov, Nikolai; Cipriano, Fernanda

The inviscid limit for slip boundary conditions

Hyperbolic problems: theory, numerics, applications

431–438, AIMS Ser. Appl. Math. 8, Am. Inst. Math. Sci. (AIMS), Springfield, MO, 2014

Chemetov, Nikolai; Neves, Wladimir

A generalized Buckley-Leverett system

Hyperbolic conservation laws and related analysis with application

87–94, Springer Proc. Math. Stat., 49, Springer, Heidelberg, 2014

2013

Papers in international journals

Amorim, Paulo; Antontsev, Stanislav	Young measure solutions for the wave equation with p(x,t)-Laplacian: existence and blow-up	Nonlinear Anal. 92 (2013)	153–167
Amorim, Paulo; Dias, João Paulo	A nonlinear model describing a short wave-long wave interaction in a viscoelastic medium	Quart. Appl. Math. 71 (2013), no. 3	417–432
Amorim, Paulo; Dias, João Paulo; Figueira, Mário; LeFloch, Philippe G.	The linear stability of shock waves for the nonlinear Schrödinger-inviscid Burgers system	J. Dynam. Differential Equations 25 (2013), no. 1	49–69
Amorim, Paulo; Figueira, Mário	Convergence of a finite difference method for the KdV and modified KdV equations with L2 data	Port. Math. 70 (2013), no. 1	23–50
Amorim, Paulo; Figueira, Mário	Convergence of a numerical scheme for a coupled Schrödinger-KdV system	Rev. Mat. Complut. 26 (2013), no. 2	409–426
Antontsev, S.; Ferreira, J.	Existence, uniqueness and blowup for hyperbolic equations with nonstandard growth conditions	Nonlinear Anal. 93 (2013)	62–77
Antontsev, Stanislav; Chipot, Michel; Shmarev, Sergey	Uniqueness and comparison theorems for solutions of doubly nonlinear parabolic equations with nonstandard growth conditions	Commun. Pure Appl. Anal. 12 (2013), no. 4	1527–1546
Baía, Margarida; Barroso, Ana Cristina; Chermisi, Milena; Matias, José	Coupled second order singular perturbations for phase transitions	Nonlinearity 26 (2013), no. 5	1271–1311
Baía, Margarida; Barroso, Ana Cristina; Matias, José	Singular perturbations for phase transitions	São Paulo J. Math. Sci. 6 (2012), no. 2	117–134
Barroso, A. C.; Croce, G.; Ribeiro, A. M.	Sufficient conditions for existence of solutions to vectorial differential inclusions and applications	Houston J. Math. 39 (2013), no. 3	929–967
Barroso, Ana Cristina; Silva, J. P.	Mutual inductance between piecewise-linear loops	American Journal of Physics 81 (2013), no. 929
Chemetov, N. V.; Cipriano, F.	Boundary layer problem: Navier-Stokes equations and Euler equations	Nonlinear Anal. Real World Appl. 14 (2013), no. 6	2091–2104
Chemetov, N. V.; Cipriano, F.	The inviscid limit for the Navier-Stokes equations with slip condition on permeable walls	J. Nonlinear Sci. 23 (2013), no. 5	731–750
Chemetov, Nikolai; Neves Wladimir	The generalized Buckley-Leverett system: solvability. Arch. Ration	Mech. Anal. 208 (2013), no. 1	1–24
Corcho, Adán J.; Oliveira, Filipe; Silva, Jorge Drumond	Local and global well-posedness for the critical Schrödinger-Debye system	Proc. Amer. Math. Soc. 141 (2013), no. 10	3485–3499
de Oliveira, H. B.	Existence of weak solutions for the generalized Navier-Stokes equations with damping	NoDEA Nonlinear Differential Equations Appl. 20 (2013), no. 3	797–824
Duque, José C. M.; Almeida, Rui M. P.; Antontsev, Stanislav N.	Convergence of the finite element method for the porous media equation with variable exponent	SIAM J. Numer. Anal. 51 (2013), no. 6	3483–3504
Enguiça, Ricardo; Gavioli, Andrea; Sanchez, Luís	A class of singular first order differential equations with applications in reaction-diffusion	Discrete Contin. Dyn. Syst. 33 (2013), no. 1	173–191
Faria, Teresa	Asymptotic behaviour for a class of delayed cooperative models with patch structure	Discrete Contin. Dyn. Syst. Ser. B 18 (2013), no. 6	1567–1579
Finkelshtein, Dmitri L.; Kondratiev, Yuri G.; Oliveira, Maria João	Markov evolutions and hierarchical equations in the continuum. II: Multicomponent systems	Rep. Math. Phys. 71 (2013), no. 1	123–148
Floriani, E.; Vilela Mendes, R.	A stochastic approach to the solution of magnetohydrodynamic equations	J. Comput. Phys. 242 (2013)	777–789
Kaplan, Itay; Onshuus, Alf; Usvyatsov, Alexander	Additivity of the dp-rank	Trans. Amer. Math. Soc. 365 (2013), no. 11	5783–5804
Margheri, Alessandro; Rebelo, Carlota; Zanolin, Fabio	Complex dynamics in pendulum-type equations with variable length	J. Dynam. Differential Equations 25 (2013), no. 3	627–652
Rodrigues, José Francisco; Tavares, Hugo	Increasing powers in a degenerate parabolic logistic equation	Chin. Ann. Math. Ser. B 34 (2013), no. 2	277–294

Book chapters

Bornales, Jinky; Oliveira, Maria João; Streit, Ludwig

Self-repelling fractional Brownian motion—a generalized Edwards model for chain polymers

Quantum bio-informatics V

389–401, QP–PQ: Quantum Probab. White Noise Anal., 30, World Sci. Publ., Hackensack, NJ, 2013

Rodrigues, José Francisco

Some mathematical aspects of the planet Earth

European Congress of Mathematics

743–762, Eur. Math. Soc., Zürich, 2013