Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/81722
Type: Artigo de periódico
Title: ON THE WELL POSEDNESS AND LARGE-TIME BEHAVIOR FOR BOUSSINESQ EQUATIONS IN MORREY SPACES
Author: de Almeida, MF
Ferreira, LCF
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.
Country: EUA
Editor: Khayyam Publ Co Inc
Rights: fechado
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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