Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Exponential attractors for a nonlinear reaction-diffusion system in - MaRDI portal

Exponential attractors for a nonlinear reaction-diffusion system in

From MaRDI portal
Publication:4489349

DOI10.1016/S0764-4442(00)00259-7zbMath1151.35315OpenAlexW2033888072MaRDI QIDQ4489349

Alain Miranville, Serguei Zelik, Messoud A. Efendiev

Publication date: 11 July 2000

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(00)00259-7



Related Items

Global attractors, exponential attractors and determining modes for the three dimensional Kelvin-Voigt fluids with ``Fading memory, A Cahn-Hilliard system with a fidelity term for color image inpainting, Parabolic-hyperbolic time-dependent Ginzburg-Landau-Maxwell equations, Exponential attractors for a conserved phase-field system with memory, Exponential attractors for two-dimensional nonlocal diffusion lattice systems with delay, On nonlocal Cahn-Hilliard-Navier-Stokes systems in two dimensions, Exponential attractors for nonclassical diffusion equations with arbitrary polynomial growth nonlinearity, Phase-field systems with nonlinear coupling and dynamic boundary conditions, A note on the dimension of the global attractor for an abstract semilinear hyperbolic problem, Asymptotic behavior of a Cahn-Hilliard-Navier-Stokes system in 2D, Exponential attractors for the strongly damped wave equations with critical exponent, Attractors for general operators., Criteria on the existence and stability of pullback exponential attractors and their application to non-autonomous Kirchhoff wave models, Long-time behavior of a nonlocal Cahn-Hilliard equation with reaction, Exponential attractors for the strongly damped wave equations, Well-posedness and long-time behavior for the modified phase-field crystal equation, Reaction-diffusion systems with supercritical nonlinearities revisited, Random exponential attractor for stochastic reaction-diffusion equation with multiplicative noise in \(\mathbb{R}^3\), The attractors for the regularized Bénard problem with fractional Laplacian, Smoothing and finite-dimensionality of uniform attractors in Banach spaces, Asymptotic behavior of a Cahn-Hilliard/Allen-Cahn system with temperature, A variational approach to a Cahn-Hilliard model in a domain with nonpermeable walls, Singularly perturbed 1D Cahn-Hilliard equation revisited, Weak exponential attractors for Coleman-Gurtin equations with dynamic boundary conditions possessing different memory kernels, Convergence of exponential attractors for a time splitting approximation of the Caginalp phase-field system, Well-posedness and attractors for a super-cubic weakly damped wave equation with \(H^{-1}\) source term, Regularity of global attractors and exponential attractors for \(2\)D quasi-geostrophic equations with fractional dissipation, Singular limits of Voigt models in fluid dynamics, Long-time behavior of the Cahn-Hilliard equation with dynamic boundary condition, Exponential attractors for semigroups in Banach spaces, The singular limit dynamics of the phase-field equations, Attractors of the velocity-vorticity-Voigt model of the 3D Navier-Stokes equations with damping, Attractors for semilinear damped wave equations with an acoustic boundary condition, Finite dimensional global and exponential attractors for a class of coupled time-dependent Ginzburg-Landau equations, A necessary and sufficient condition for the existence of an exponential attractor, Attractors for Nonautonomous Navier–Stokes System and Other Partial Differential Equations, On the Swift-Hohenberg equation with slow and fast dynamics: well-posedness and long-time behavior, Asymptotic behavior of a generalized Cahn–Hilliard equation with a mass source, Exponential attractors for weakly damped wave equation with sub-quintic nonlinearity, The exponential attractors for the g-Navier-Stokes equations, Pullback exponential attractors for evolution processes in Banach spaces: properties and applications, Asymptotic behavior of a sixth-order Cahn-Hilliard system, The Cahn–Hilliard equation as limit of a conserved phase-field system, Long-Time Behavior of State Functions for Badyko Models, Strongly damped wave equations with critical nonlinearities, DIMENSION ESTIMATE OF THE EXPONENTIAL ATTRACTOR FOR THE CHEMOTAXIS–GROWTH SYSTEM, Necessary and sufficient conditions for the existence of exponential attractors for semigroups, and applications, The Cahn-Hilliard equation with logarithmic potentials, The dimension of the global attractor for dissipative reaction-diffusion systems, Analysis and simulation for an isotropic phase-field model describing grain growth, Asymptotic behavior of the conserved Caginalp phase-field system based on the Maxwell-Cattaneo law, On the longtime behavior of solutions to a model for epitaxial growth, Exponential attractors for random dynamical systems and applications, Asymptotic regularity and attractors for slightly compressible Brinkman-Forchheimer equations, Existence and continuity of inertial manifolds for the hyperbolic relaxation of the viscous Cahn-Hilliard equation, Infinite-dimensional exponential attractors for fourth-order nonlinear parabolic equations in unbounded domains, Convergence to steady state and attractors for doubly nonlinear equations, Exponential attractors for first-order lattice dynamical systems, Convergence of exponential attractors for a time semi-discrete reaction-diffusion equation, Global exponential \(\kappa\)-dissipative semigroups and exponential attraction, Long-time behavior of state functions for climate energy balance model, Finite-dimensional attractors for the Bertozzi-Esedoglu-Gillette-Cahn-Hilliard equation in image inpainting, Attractors for a neural network equation, Pullback exponential attractors for nonautonomous equations. I: Semilinear parabolic problems, Homogenisation with error estimates of attractors for damped semi-linear anisotropic wave equations, Exponential attractors for non-autonomous dissipative system, On the strongly damped wave equation, Dimension of invariant sets for mappings with the squeezing property, Finite dimensional global attractor for a class of doubly nonlinear parabolic equations, Attractors for damped semilinear wave equations with a Robin-acoustic boundary perturbation, Pullback exponential attractors for the three dimensional non-autonomous Navier-Stokes equations with nonlinear damping, Pullback exponential attractors for differential equations with variable delays, On the forward dynamical behavior of nonautonomous systems, Long time behavior of solutions for a nonlinear evolution equation, Global dynamics of nonautonomous Hindmarsh-Rose equations, Lyapunov Functions for Differential Inclusions and Applications in Physics, Biology, and Climatology, A Gronwall-type Lemma with parameter and dissipative estimates for PDEs, Lyapunov functions for weak solutions of reaction-diffusion equations with discontinuous interaction functions and its applications, Chevron pattern equations: exponential attractor and global stabilization, Uniform global attractors for non-isothermal viscous and non-viscous Cahn-Hilliard equations with dynamic boundary conditions, Robust exponential attractors for singularly perturbed conserved phase-field systems with no growth assumption on the nonlinear term, Global attractors for the extensible thermoelastic beam system, On the dimension of global attractor for the Cahn-Hilliard-Brinkman system with dynamic boundary conditions, Pullback exponential attractors for differential equations with delay, Attractors and long-time behavior of von Kármán thermoelastic plates, Finite-dimensionality of tempered random uniform attractors, Exponential attractors for reaction-diffusion equations with arbitrary polynomial growth, Finite-dimensional attractors for the quasi-linear strongly-damped wave equation, Attractors for Kirchhoff's equation with a nonlinear damping coefficient, Global and exponential attractors for a Cahn-Hilliard equation with logarithmic potentials and mass source, Pullback exponential attractors for the viscous Cahn-Hilliard-Navier-Stokes system with dynamic boundary conditions, Pullback exponential attractor for second order nonautonomous lattice system, Finite-dimensional negatively invariant subsets of Banach spaces, Asymptotic behaviour of a generalized Cahn–Hilliard equation with a proliferation term, Continuous dependence on a parameter of exponential attractors for nonclassical diffusion equations, Global and exponential attractors for the 3D Kelvin-Voigt-Brinkman-Forchheimer equations, ATTRACTORS FOR A CAGINALP MODEL WITH A LOGARITHMIC POTENTIAL AND COUPLED DYNAMIC BOUNDARY CONDITIONS, A generalized conserved phase-field system based on type III heat conduction, Exponential attractors for abstract equations with memory and applications to viscoelasticity, Robust exponential attractors for the modified phase-field crystal equation, Long-time behavior of the higher-order anisotropic Caginalp phase-field systems based on the Cattaneo law, Robustness of exponential attractors for infinite dimensional dynamical systems with small delay and application to 2D nonlocal diffusion delay lattice systems, Asymptotic behavior of an Allen-Cahn type equation with temperature, Pullback exponential attractors for non-autonomous recurrent neural networks with discrete and distributed time-varying delays, Exponential attractor for the viscoelastic wave model with time-dependent memory kernels, Dynamics of a class of extensible beams with degenerate and non-degenerate nonlocal damping, Kolmogorov \(\varepsilon\)-entropy of the uniform attractor for a wave equation, Existence of exponential attractors for the coupled system of suspension bridge equations, On the viscous Cahn–Hilliard–Oono system with chemotaxis and singular potential, Existence of exponential attractor to p(x)‐Laplacian via the l‐trajectories method, Attractors. Then and now, Pullback exponential attractors with explicit fractal dimensions for non-autonomous partial functional differential equations, Hausdorff and fractal dimensions of attractors for functional differential equations in Banach spaces, THE EXISTENCE OF PULLBACK EXPONENTIAL ATTRACTORS FOR NONAUTONOMOUS DYNAMICAL SYSTEM AND APPLICATIONS TO NONAUTONOMOUS REACTION DIFFUSION EQUATIONS, Convergence of Exponential Attractors for a Finite Element Approximation of the Allen–Cahn Equation, Random uniform exponential attractors for non-autonomous stochastic lattice systems and FitzHugh–Nagumo lattice systems with quasi-periodic forces and multiplicative noise, A construction of a robust family of exponential attractors, ASYMPTOTIC DYNAMICS FOR REACTION DIFFUSION EQUATIONS IN UNBOUNDED DOMAIN, ON HIGHER-ORDER ANISOTROPIC CAGINALP PHASE-FIELD SYSTEMS WITH POLYNOMIAL NONLINEAR TERMS, A Complex Version of the Cahn--Hilliard Equation for Grayscale Image Inpainting, Dynamics of Hodgkin–Huxley systems revisited, Hyperbolic relaxation of reaction-diffusion equations with dynamic boundary conditions, Attractors for Damped Semilinear Wave Equations with Singularly Perturbed Acoustic Boundary Conditions, Well‐posedness and long time behavior of a parabolic‐hyperbolic phase‐field system with singular potentials, Exponential attractors for abstract parabolic systems with bounded delay, Asymptotic behavior of a nonisothermal Ginzburg-Landau model, EXPONENTIAL ATTRACTOR FOR HINDMARSH-ROSE EQUATIONS IN NEURODYNAMICS