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|Type:||Artigo de periódico|
|Title:||ON THE WELL POSEDNESS AND LARGE-TIME BEHAVIOR FOR BOUSSINESQ EQUATIONS IN MORREY SPACES|
|Author:||de Almeida, MF|
|Abstract:||In this paper we are concerned with Boussinesq equations which model heat transport by natural convection inside a viscous incompressible fluid in R(n). We prove the well posedness of mild solutions and existence of self-similar ones in the framework of Morrey spaces. Our results allow us to consider singular and unbounded gravitational fields. We also study the long-time behavior of solutions and obtain existence of a basin of attraction for each self-similar solution. Moreover, conditions on initial data for solutions to vanish at infinity are given.|
|Editor:||Khayyam Publ Co Inc|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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