Existence and regularity of solutions of a phase field model for solidification with convection of pure materials in two dimensions

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 ph...

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Bibliographic Details
Main Authors: Jose Luiz Boldrini, Cristina Lucia Dias Vaz
Format: Article
Language:English
Published: Texas State University 2003-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2003/109/abstr.html