Publicação: Patterns in parabolic problems with nonlinear boundary conditions
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Data
2007-01-15
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Elsevier B.V.
Tipo
Artigo
Direito de acesso
Acesso aberto
Resumo
We obtain existence of asymptotically stable nonconstant equilibrium solutions for semilinear parabolic equations with nonlinear boundary conditions on small domains connected by thin channels. We prove the convergence of eigenvalues and eigenfunctions of the Laplace operator in such domains. This information is used to show that the asymptotic dynamics of the heat equation in this domain is equivalent to the asymptotic dynamics of a system of two ordinary differential equations diffusively (weakly) coupled. The main tools employed are the invariant manifold theory and a uniform trace theorem. (c) 2006 Elsevier B.V. All rights reserved.
Descrição
Idioma
Inglês
Como citar
Journal of Mathematical Analysis and Applications. San Diego: Academic Press Inc. Elsevier B.V., v. 325, n. 2, p. 1216-1239, 2007.
