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Degenerate Hyperbolic Conservation Laws with Dissipation: Reduction to and Validity of a Class of Burgers-Type Equations.
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- Archive for Rational Mechanics & Analysis, 2014, v. 214, n. 2, p. 671, doi. 10.1007/s00205-014-0772-7
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Attractors of reaction-diffusion systems in unbounded domains and their spatial complexity.
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- Communications on Pure & Applied Mathematics, 2003, v. 56, n. 5, p. 584, doi. 10.1002/cpa.10068
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The attractor for a nonlinear reaction-diffusion system in an unbounded domain.
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- Communications on Pure & Applied Mathematics, 2001, v. 54, n. 6, p. 625, doi. 10.1002/cpa.1011
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Inertial manifolds for the hyperbolic relaxation of semilinear parabolic equations.
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- Discrete & Continuous Dynamical Systems - Series B, 2019, v. 24, n. 3, p. 1115, doi. 10.3934/dcdsb.2019009
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STRONG TRAJECTORY AND GLOBAL W<sup>1,p</sup>-ATTRACTORS FOR THE DAMPED-DRIVEN EULER SYSTEM IN R<sup>2</sup>.
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- Discrete & Continuous Dynamical Systems - Series B, 2017, v. 22, n. 5, p. 1835, doi. 10.3934/dcdsb.2017109
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STRONG UNIFORM ATTRACTORS FOR NON-AUTONOMOUS DISSIPATIVE PDES WITH NON TRANSLATION-COMPACT EXTERNAL FORCES.
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- Discrete & Continuous Dynamical Systems - Series B, 2015, v. 20, n. 3, p. 781, doi. 10.3934/dcdsb.2015.20.781
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ON A GENERALIZED CAHN-HILLIARD EQUATION WITH BIOLOGICAL APPLICATIONS.
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- Discrete & Continuous Dynamical Systems - Series B, 2014, v. 19, n. 7, p. 2013, doi. 10.3934/dcdsb.2014.19.2013
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SPATIALLY NONDECAYING SOLUTIONS OF THE 2D NAVIER-STOKES EQUATION IN A STRIP.
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- Glasgow Mathematical Journal, 2007, v. 49, n. 3, p. 525, doi. 10.1017/S0017089507003849
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One-Dimensional Interpolation Inequalities, Carlson-Landau Inequalities, and Magnetic Schrödinger Operators.
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- IMRN: International Mathematics Research Notices, 2016, v. 2016, n. 4, p. 1190, doi. 10.1093/imrn/rnv156
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Robust exponential attractors for Cahn-Hilliard type equations with singular potentials.
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- Mathematical Methods in the Applied Sciences, 2004, v. 27, n. 5, p. 545
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Global well-posedness and attractors for the hyperbolic Cahn-Hilliard-Oono equation in the whole space.
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- Mathematical Models & Methods in Applied Sciences, 2016, v. 26, n. 7, p. 1357, doi. 10.1142/S0218202516500329
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- Article
Well-posedness and long time behavior of a parabolic-hyperbolic phase-field system with singular potentials.
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- Mathematische Nachrichten, 2007, v. 280, n. 13/14, p. 1475, doi. 10.1002/mana.200510560
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- Article
Exponential attractors for a singularly perturbed Cahn-Hilliard system.
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- Mathematische Nachrichten, 2004, v. 272, n. 1, p. 11, doi. 10.1002/mana.200310186
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- Article
Infinite dimensional exponential attractors for a non-autonomous reaction-diffusion system.
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- Mathematische Nachrichten, 2003, v. 248-249, n. 1, p. 72, doi. 10.1002/mana.200310004
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- Article
Reaction-diffusion systems with supercritical nonlinearities revisited.
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- Mathematische Annalen, 2022, v. 384, n. 1/2, p. 1, doi. 10.1007/s00208-021-02222-6
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Inertial manifolds and finite-dimensional reduction for dissipative PDEs.
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- Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, 2014, v. 144, n. 6, p. 1245, doi. 10.1017/S0308210513000073
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Asymptotic expansions and extremals for the critical Sobolev and Gagliardo–Nirenberg inequalities on a torus.
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- Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, 2013, v. 143, n. 3, p. 445, doi. 10.1017/S0308210511000473
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Continuous families of exponential attractors for singularly perturbed equations with memory.
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- Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, 2010, v. 140, n. 2, p. 329, doi. 10.1017/S0308210509000365
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Trajectory attractors for 3D damped Euler equations and their approximation.
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- Discrete & Continuous Dynamical Systems - Series S, 2022, v. 15, n. 8, p. 2275, doi. 10.3934/dcdss.2022051
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Asymptotic Regularity and Attractors for Slightly Compressible Brinkman–Forchheimer Equations.
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- Applied Mathematics & Optimization, 2021, v. 84, n. 3, p. 3137, doi. 10.1007/s00245-020-09742-8
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Attractors for semigroups with multi-dimensional time and PDEs in unbounded domains.
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- Turkish Journal of Mathematics, 2023, v. 47, p. 988, doi. 10.55730/1300-0098.3406
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Cesaro summation by spheres of lattice sums and Madelung constants.
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- Communications on Pure & Applied Analysis, 2021, v. 20, n. 12, p. 4195, doi. 10.3934/cpaa.2021153
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INERTIAL MANIFOLDS FOR 1D REACTION-DIFFUSION-ADVECTION SYSTEMS. PART II: PERIODIC BOUNDARY CONDITIONS.
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- Communications on Pure & Applied Analysis, 2018, v. 17, n. 1, p. 285, doi. 10.3934/cpaa.2018017
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INERTIAL MANIFOLDS FOR 1D REACTION-DIFFUSION-ADVECTION SYSTEMS. PART I: DIRICHLET AND NEUMANN BOUNDARY CONDITIONS.
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- Communications on Pure & Applied Analysis, 2017, v. 16, n. 6, p. 2357, doi. 10.3934/cpaa.2017116
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INERTIAL MANIFOLDS FOR THE 3D CAHN-HILLIARD EQUATIONS WITH PERIODIC BOUNDARY CONDITIONS.
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- Communications on Pure & Applied Analysis, 2015, v. 14, n. 5, p. 3069, doi. 10.3934/cpaa.2015.14.2069
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ATTRACTORS FOR THE NONLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS AND THEIR PARABOLIC SINGULAR LIMIT.
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- Communications on Pure & Applied Analysis, 2014, v. 13, n. 5, p. 2059, doi. 10.3934/cpaa.2014.13.2059
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INFINITE-ENERGY SOLUTIONS FOR THE NAVIER-STOKES EQUATIONS IN A STRIP REVISITED.
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- Communications on Pure & Applied Analysis, 2014, v. 13, n. 4, p. 1361, doi. 10.3934/cpaa.2014.13.1361
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GLOBAL WELL-POSEDNESS IN UNIFORMLY LOCAL SPACES FOR THE CAHN-HILLIARD EQUATION IN R³.
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- Communications on Pure & Applied Analysis, 2013, v. 12, n. 1, p. 461, doi. 10.3934/cpaa.2013.12.461
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SMOOTH ATTRACTORS FOR THE BRINKMAN-FORCHHEIMER EQUATIONS WITH FAST GROWING NONLINEARITIES.
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- Communications on Pure & Applied Analysis, 2012, v. 11, n. 5, p. 2037, doi. 10.3934/cpaa.2012.11.2037
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EXISTENCE AND LONGTIME BEHAVIOR OF A BIOFILM MODEL.
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- Communications on Pure & Applied Analysis, 2009, v. 8, n. 2, p. 509, doi. 10.3934/cpaa.2009.8.509
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ON THE LYAPUNOV DIMENSION OF CASCADE SYSTEMS.
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- Communications on Pure & Applied Analysis, 2008, v. 7, n. 4, p. 971
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A RESULT ON THE EXISTENCE OF GLOBAL ATTRACTORS FOR SEMIGROUPS OF CLOSED OPERATORS.
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- Communications on Pure & Applied Analysis, 2007, v. 6, n. 2, p. 481
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A REMARK ON THE DAMPED WAVE EQUATION.
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- Communications on Pure & Applied Analysis, 2006, v. 5, n. 3, p. 611
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ASYMPTOTIC REGULARITY OF SOLUTIONS OF A NONAUTONOMOUS DAMPED WAVE EQUATION WITH A CRITICAL GROWTH EXPONENT.
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- Communications on Pure & Applied Analysis, 2004, v. 3, n. 4, p. 921
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Finite dimensionality of the attractor for the hyperbolic Cahn-Hilliard-Oono equation in.
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- Mathematical Methods in the Applied Sciences, 2016, v. 39, n. 5, p. 1254, doi. 10.1002/mma.3569
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Global and exponential attractors for 3‐D wave equations with displacement dependent damping.
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- Mathematical Methods in the Applied Sciences, 2006, v. 29, n. 11, p. 1291
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