EXISTENCE OF SOLUTIONS TO A PHASE-FIELD MODEL WITH PHASE-DEPENDENT HEAT ABSORPTION

被引：0

作者：

Planas, Gabriela ^{[1
]}

机构：

[1] Univ Sao Paulo, Dept Matemat, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP, Brazil

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2007年

关键词：

Phase transitions; parabolic system; phase-field models;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a phase-field model for a phase change process with phase-dependent heat absorption. This model describes the behaviour of films exposed to radiative heating, where the film can change reversibly between amorphous and crystalline states. Existence and uniqueness of solutions as well as stability are established. Moreover, a maximum principle is proved for the phase-field equation.

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页数：12

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