The Riemann problem and the existence of weak solutions to a system of mixed-type in dynamic phase transition

被引：9

作者：

Hattori, H ^{[1
]}

机构：

[1] W Virginia Univ, Dept Math, Morgantown, WV 26506 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1998年 / 146卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1006/jdeq.1998.3433

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss the Riemann problem and the existence of weak solutions to a dynamic phase transition problem. To estimate the wave strength of outgoing waves containing the phase boundary, we obtain the reflection and transmission coefficients for phase boundary. Then, employing the entropy rate admissibility criterion and the initiation criterion, we prove the existence of global weak solutions via Glimm scheme. (C) 1998 Academic Press.

引用

页码：287 / 319

页数：33

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