Presentation
Well-posedness and asymptotic behaviour for the Bousinessq system in Rn
Author/s | Villamizar Roa, Elder Jesús
Ferreira, Lucas Catao de Freitas |
Publication Date | 2007-09 |
Deposit Date | 2016-02-22 |
Published in |
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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 ... 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. |
Citation | Villamizar Roa, E.J. y Ferreira, L.C.d.F. (2007). Well-posedness and asymptotic behaviour for the Bousinessq system in Rn. |
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