Trajectory attractor for a system of two reaction-diffusion equations with diffusion coefficient \(\delta (t) \rightarrow 0+\) as \(t \rightarrow + \infty \)

DOI10.1134/S1064562410020092zbMath1203.35047OpenAlexW1965549390MaRDI QIDQ606547

Vladimir V. Chepyzhov, Mark I. Vishik

Publication date: 17 November 2010

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

Full work available at URL: https://doi.org/10.1134/s1064562410020092

zbMATH Keywords

time-dependent diffusion coefficientnonautonomous reaction-diffusion systemnonunique solvability

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

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