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|Type:||Artigo de periódico|
|Title:||ON THE STABILITY PROBLEM FOR THE BOUSSINESQ EQUATIONS IN WEAK-L-p SPACES|
|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.|
|Editor:||Amer Inst Mathematical Sciences|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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