Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/23518
Título: | Phase transition of a heat equation with Robin's boundary conditions and exclusion process |
Autor(es): | Gonçalves, Patrícia Franco, Tertuliano Neumann, Adriana |
Palavras-chave: | Slowed exclusion Phase transition Heat equation Robin's boundary conditions Hydrodynamic limit Hydrodynamic Limit Robin boundary conditions |
Data: | 2015 |
Editora: | American Mathematical Society |
Revista: | Transactions of the American Mathematical Society |
Citação: | Franco, T., Gonçalves, P., & Neumann, A. (2015). Phase transition of a heat equation with Robin’s boundary conditions and exclusion process. Transactions of the American Mathematical Society, 367(9), 6131-6158. |
Resumo(s): | For a heat equation with Robin's boundary conditions which depends on a parameter $\alpha>0$, we prove that its unique weak solution $\rho^\alpha$ converges, when $\alpha$ goes to zero or to infinity, to the unique weak solution of the heat equation with Neumann's boundary conditions or the heat equation with periodic boundary conditions, respectively. To this end, we use uniform bounds on a Sobolev norm of $\rho^\alpha$ obtained from the hydrodynamic limit of the symmetric slowed exclusion process, plus a careful analysis of boundary terms. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/23518 |
ISSN: | 0002-9947 |
Versão da editora: | http://www.ams.org/publications/journals/journalsframework/tran |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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FGN_revised_arxiv.pdf | Documento Principal | 194,63 kB | Adobe PDF | Ver/Abrir |