Bifurcation of Equilibria for One-dimensional Semilinear Equation of the Thermoelasticity
In this paper, we study the bifurcation problem for the system [formula omitted] with Dirichlet boundary conditions u = θ = 0 at x = 0,π. Here, A is a nonnegative real parameter, m, k are C1functions, k is positive and m is not identically zero. The function g will be required to be C3and satisfying...
| Autores: | , |
|---|---|
| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1994 |
| País: | Brasil |
| Recursos: | Universidade Estadual Paulista (UNESP) |
| Repositorio: | Repositório Institucional da UNESP |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unesp.br:11449/220508 |
| Acesso em linha: | http://dx.doi.org/10.1080/00036819408840279 http://hdl.handle.net/11449/220508 |
| Access Level: | acceso abierto |
| Palavra-chave: | attractor bifurcation thermoelasticity |
| Resumo: | In this paper, we study the bifurcation problem for the system [formula omitted] with Dirichlet boundary conditions u = θ = 0 at x = 0,π. Here, A is a nonnegative real parameter, m, k are C1functions, k is positive and m is not identically zero. The function g will be required to be C3and satisfying a dissipative condition. We show that if n2 < λ < (n + 1)2, for some integer n ≥ 0, then the global attractor Aλ for this system has some similar qualitative properties as the attractor of the parabolic equation ut= uxx — λg(u) with Dirichlet boundary conditions. © 1994, Taylor & Francis Group, LLC. All rights reserved. |
|---|