On a model of phase relaxation for the hyperbolic Stefan problem

被引：2

作者：

Recupero, V ^{[1
]}

机构：

[1] Univ Trent, Dipartimento Matemat, I-38050 Povo, Trento, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 300卷 / 02期

关键词：

Stefan problem; phase relaxation; heat flux law; nonlinear PDEs;

D O I：

10.1016/j.jmaa.2004.06.045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study a model of phase relaxation for the Stefan problem with the Cattaneo Maxwell heat flux law. We prove an existence and uniqueness result for the resulting problem and we show that its solution converges to the solution of the Stefan problem as the two relaxation parameters go to zero, provided a relation between these parameters holds. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：387 / 407

页数：21

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