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Type: Artigo de periódico
Author: Boldrini, JL
de Miranda, LH
Planas, G
Abstract: 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.
Subject: Irreversible phase transitions
singular Navier Stokes equations
free-boundary problem
Country: EUA
Editor: Amer Inst Mathematical Sciences
Rights: aberto
Identifier DOI: 10.3934/cpaa.2012.11.2055
Date Issue: 2012
Appears in Collections:Unicamp - Artigos e Outros Documentos

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