Complete Blow-up and Avalanche Formation for a Parabolic System with Non-Simultaneous Blow-up
We study the possibility of defining a nontrivial continuation after the blow-up time for a system of two heat equations with a nonlinear coupling at the boundary. It turns out that any possible continuation that verify a maximum principle is identically infinity after the blow-up time, that is, bot...
| Autores: | , , |
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2010 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositório: | CONICET Digital (CONICET) |
| Idioma: | inglês |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/16376 |
| Acesso em linha: | http://hdl.handle.net/11336/16376 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Complete blow-up Parabolic system Nonlinear boundary conditions Avalanche https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Resumo: | We study the possibility of defining a nontrivial continuation after the blow-up time for a system of two heat equations with a nonlinear coupling at the boundary. It turns out that any possible continuation that verify a maximum principle is identically infinity after the blow-up time, that is, both components blow up completely. We also analyze the propagation of the singularity to the whole space, the avalanche, when blow-up is non-simultaneous. |
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