Artículos de revistas
ON SINGULAR NAVIER-STOKES EQUATIONS AND IRREVERSIBLE PHASE TRANSITIONS
Registro en:
Communications On Pure And Applied Analysis. Amer Inst Mathematical Sciences, v. 11, n. 5, n. 2055, n. 2078, 2012.
1534-0392
WOS:000308023400024
10.3934/cpaa.2012.11.2055
Autor
Boldrini, JL
de Miranda, LH
Planas, G
Institución
Resumen
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) We analyze a singular system of partial differential equations corresponding to a model for the evolution of an irreversible solidification of certain pure materials by taking into account the effects of fluid flow in the molten regions. The model consists of a system of highly non-linear free-boundary parabolic equations and includes: a heat equation, a doubly nonlinear inclusion for the phase change and Navier-Stokes equations singularly perturbed by a Carman-Kozeny type term to take care of the flow in the mushy region and a Boussinesq term for the buoyancy forces due to thermal differences. Our approach to show existence of generalized solutions of this system involves time-discretization, a suitable regularization procedure and fixed point arguments. 11 5 2055 2078 Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Faepex-Brazil [964/08] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) CNPq [307833/2008-9, 303302/2009-7] FAPESP [2008/09342-3] Faepex-Brazil [964/08]