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Local existence of solutions of a three phase-field model for solidification

✍ Scribed by Bianca Morelli Calsavara Caretta; José Luiz Boldrini

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
222 KB
Volume
32
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this article we discuss the local existence and uniqueness of solutions of a system of parabolic differential partial equations modeling the process of solidification/melting of a certain kind of alloy. This model governs the evolution of the temperature field, as well as the evolution of three phase‐field functions; the first two describe two different possible solid crystallization states and the last one describes the liquid state. Copyright © 2008 John Wiley & Sons, Ltd.

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