Reaction-diffusion systems coupled at the boundary and the Morse-Smale property

DOI10.1016/J.JDE.2008.06.017zbMath1176.35034OpenAlexW1978659905MaRDI QIDQ942190

Rita de Cássia D. S. Broche, Luiz Augusto F. De Oliveira

Publication date: 4 September 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.06.017

zbMATH Keywords

global attractortransversalityparabolic equationsMorse-Smale property

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) General topics in linear spectral theory for PDEs (35P05) Initial value problems for second-order parabolic equations (35K15)

Related Items (1)

Generic hyperbolicity of stationary solutions for a reaction-diffusion system

Cites Work

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• An introduction to infinite dimensional dynamical systems -- geometric theory. With an appendix by Krzysztof P. Rybakowski
• Semigroups of linear operators and applications to partial differential equations
• Some infinite-dimensional Morse-Smale systems defined by parabolic partial differential equations
• The Morse-Smale property for a semilinear parabolic equation
• Geometric theory of semilinear parabolic equations
• Transversality of stable and unstable manifolds for parabolic problems arising in composite materials
• A General Approximation Scheme for Attractors of Abstract Parabolic Problems
• A reaction-diffusion equation on a thin L-shaped domain

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