Villamizar Roa, Elder JesúsFerreira, Lucas Catao de Freitas2016-02-222016-02-222007-09Villamizar Roa, E.J. y Ferreira, L.C.d.F. (2007). Well-posedness and asymptotic behaviour for the Bousinessq system in Rn.http://hdl.handle.net/11441/36216We 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.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Well-posednessasymptotic behaviourBoussinesq systeminfo:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/openAccess