Pullback exponential attractors for nonautonomous equations. II: Applications to reaction-diffusion systems

DOI10.1016/j.jmaa.2011.03.052zbMath1298.35019OpenAlexW2095072225MaRDI QIDQ542856

Radosław Czaja, Messoud A. Efendiev

Publication date: 20 June 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.03.052

zbMATH Keywords

fractal dimensionreaction-diffusion equationspullback attractorexponential attractornonautonomous dynamical systems

Mathematics Subject Classification ID

Attractors (35B41) Abstract parabolic equations (35K90) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58)

Related Items (7)

Random attractor and random exponential attractor for stochastic non-autonomous damped cubic wave equation with linear multiplicative white noise ⋮ A global solution for a reaction-diffusion equation on bounded domains ⋮ Dynamics of non-autonomous parabolic problems with subcritical and critical nonlinearities ⋮ Random exponential attractor for cocycle and application to non-autonomous stochastic lattice systems with multiplicative white noise ⋮ Pullback exponential attractors for nonautonomous equations. I: Semilinear parabolic problems ⋮ Stability and error estimates for the variable step-size BDF2 method for linear and semilinear parabolic equations ⋮ Global dynamics of nonautonomous Hindmarsh-Rose equations

Cites Work

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• Pullback exponential attractors for nonautonomous equations. I: Semilinear parabolic problems
• Geometric theory of semilinear parabolic equations
• Attractors of the reaction-diffusion systems with rapidly oscillating coefficients and their homo\-genization.
• Regular attractor for a non-linear elliptic system in a cylindrical domain

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