Utilize este identificador para referenciar este registo: http://hdl.handle.net/1822/23518

 Título: Phase transition of a heat equation with Robin's boundary conditions and exclusion process Autor: Gonçalves, PatríciaFranco, TertulianoNeumann, Adriana Palavras-chave: Slowed exclusionPhase transitionHeat equationRobin's boundary conditionsHydrodynamic limit Data: 2015 Editora: AMS 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: 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: article URI: http://hdl.handle.net/1822/23518 ISSN: 0002-9947 Versão da editora: http://www.ams.org/publications/journals/journalsframework/tran Arbitragem científica: yes Acesso: openAccess Aparece nas coleções: CMAT - Artigos com arbitragem/Papers with refereeing

Ficheiros deste registo:
Ficheiro Descrição TamanhoFormato