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

被引：3
|
作者：
Calsavara Caretta, Bianca Morelli [1 ]
Boldrini, Jose Luiz [1 ]
机构：
[1] Univ Estadual Campinas, BR-13081970 Campinas, SP, Brazil
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2009年 / 32卷 / 12期
关键词：
parabolic equation; existence of solution; solidification; alloy; phase field; TEMPERATURE; BOUNDARY; SYSTEMS; ALLOY;
D O I：
10.1002/mma.1094
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 (C) 2008 John Wiley & Sons, Ltd.
引用
收藏
页码：1496 / 1518
页数：23
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