Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/102343
Type: Artigo de periódico
Title: Existence And Regularity Of Solutions Of A Phase Field Model For Solidification With Convection Of Pure Materials In Two Dimensions
Author: Boldrini J.L.
Vaz C.L.D.
Abstract: We study the existence and regularity of weak solutions of a phase field type model for pure material solidification in presence of natural convection. We assume that the non-stationary solidification process occurs in a two dimensional bounded domain. The governing equations of the model are the phase field equation coupled with a nonlinear heat equation and a modified Navier-Stokes equation. These equations include buoyancy forces modelled by Boussinesq approximation and a Carman-Koseny term to model the flow in mushy regions. Since these modified Navier-Stokes equations only hold in the non-solid regions, which are not known a priori, we have a free boundary-value problem.
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Rights: aberto
Identifier DOI: 
Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-3042643009&partnerID=40&md5=30d91b2c4e19cd1241472690d20e358e
Date Issue: 2003
Appears in Collections:Unicamp - Artigos e Outros Documentos

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