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

页码：1496 / 1518

页数：23

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