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|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|
|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.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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