Dynamics in Dumbbell domains. I: Continuity of the set of equilibria.
We analyze the dynamics of a reaction–diffusion equation with homogeneous Neumann boundary conditions in a dumbbell domain. We provide an appropriate functional setting to treat this problem and, as a first step, we show in this paper the continuity of the set of equilibria and of its linear unstabl...
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2006 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/49744 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/49744 |
| Access Level: | acceso abierto |
| Palavra-chave: | 517.9 Reaction-diffusion equation Stationary solutions Dumbbell domains continuity Homogeneous Neumann boundary conditions Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias |
| Resumo: | We analyze the dynamics of a reaction–diffusion equation with homogeneous Neumann boundary conditions in a dumbbell domain. We provide an appropriate functional setting to treat this problem and, as a first step, we show in this paper the continuity of the set of equilibria and of its linear unstable manifolds. |
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