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Well-posedness and asymptotic behaviour for the Bousinessq system in Rn

 

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Opened Access Well-posedness and asymptotic behaviour for the Bousinessq system in Rn
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Author: Villamizar Roa, Elder Jesús
Ferreira, Lucas Catao de Freitas
Date: 2007-09
Published in: XX Congreso de Ecuaciones Diferenciales y Aplicaciones. Sevilla, 24-28 de septiembre de 2007
Document type: Presentation
Abstract: We analyze the well-posedness of the initial value problem for a Convection Problem. Mild solutions are obtained in the weak-L p (R n) spaces and the existence of self-similar solutions is showed, while the only small self-similar solution in the Lebesgue space L p (R n) is the null solution. The asymptotic stability of solutions is analyzed and, as a consequence, a criterium of self-similarity persistence at large times is obtained.
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URI: http://hdl.handle.net/11441/36216

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