Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/68809
Type: Artigo de periódico
Title: ON THE STABILITY PROBLEM FOR THE BOUSSINESQ EQUATIONS IN WEAK-L-p SPACES
Author: Ferreira, LCF
Villamizar-Roa, EJ
Abstract: We consider the Boussinesq equations in either an exterior domain in R-n, the whole space R-n, the half space R-+(n) or a bounded domain in R-n, where the dimension n satisfies n >= 3. We give a class of stable steady solutions, which improves and complements the previous stability results. Our results give a complete answer to the stability problem for the Boussinesq equations in weak-L-p spaces, in the sense that we only assume that the stable steady solution belongs to scaling invariant class L-sigma((n, infinity)) x L-(n,L- infinity). Moreover, some considerations about the exponential decay (in bounded domains) and the uniqueness of the disturbance are done.
Subject: Boussinesq equations
stability
strong solutions
Country: EUA
Editor: Amer Inst Mathematical Sciences
Rights: aberto
Identifier DOI: 10.3934/cpaa.2010.9.667
Date Issue: 2010
Appears in Collections:Unicamp - Artigos e Outros Documentos

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