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Type: Artigo de periódico
Title: On The Stability Problem For The Boussinesq Equations In Weak-lp Spaces
Author: Ferreira L.C.F.
Villamizar-Roa E.J.
Abstract: We consider the Boussinesq equations in either an exterior domain in ℝn, the whole space ℝn, the half space ℝn + or a bounded domain in ℝn, 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-Lp spaces, in the sense that we only assume that the stable steady solution belongs to scaling invariant class L σ (n,∞) x L(n,∞). Moreover, some considerations about the exponential decay (in bounded domains) and the uniqueness of the disturbance are done.
Rights: fechado
Identifier DOI: 10.3934/cpaa.2010.9.667
Date Issue: 2010
Appears in Collections:Unicamp - Artigos e Outros Documentos

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