Trajectory attractor for a reaction-diffusion system with a small diffusion coefficient

DOI10.1134/S1064562409020215zbMath1183.35058OpenAlexW2092946305MaRDI QIDQ735836

Mark I. Vishik, Vladimir V. Chepyzhov

Publication date: 26 October 2009

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562409020215

zbMATH Keywords

non-uniquenesssystems of two reaction-diffusion equationsinitial Dirichlet problem

Mathematics Subject Classification ID

Attractors (35B41) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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• Infinite-dimensional dynamical systems in mechanics and physics
• Trajectory attractors for reaction-diffusion systems
• Evolution equations and their trajectory attractors
• Finite-Dimensional Attractors Associated with Partly Dissipative Reaction-Diffusion Systems

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