Dynamics of a free boundary in a binary medium with variable thermal conductivity

被引：0

作者：

Omel'yanov, GA ^{[1
]}

Trushkov, VV ^{[1
]}

机构：

[1] Moscow State Inst Elect & Math, Moscow, Russia

来源：

MATHEMATICAL NOTES | 1999年 / 66卷 / 1-2期

关键词：

phase field system; fluid or solid phase; phase transition of the first kind; free boundary problem; classical Stefan problem; modified Stefan problem;

D O I：

10.1007/BF02674876

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct an asymptotic solution of the phase field system with variable thermal conductivity different in domains occupied by different phases. We show that, depending on relations between parameters characterizing the substance, the dynamics of the free interface between the phases is determined by solutions of the classical or modified Stefan problems.

引用

页码：181 / 189

页数：9

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