Exact solutions of one-dimensional two-phase free boundary problems for parabolic equations

被引：0

作者：

Bizhanova G.I. ^{[1
]}

机构：

[1] Institute of Mathematics, Ministry of Education and Science of Kazakhstan

来源：

Journal of Mathematical Sciences | 2006年 / 136卷 / 2期

关键词：

Phase Transition; Exact Solution; Parabolic Equation; Free Boundary; Boundary Problem;

D O I：

10.1007/s10958-006-0191-x

中图分类号：

学科分类号：

摘要：

We construct automodel solutions for the one-dimensional two-phase Stefan, Florin, and Verigin free boundary problems for parabolic equations in the case where the initial and boundary data are not adjusted. It is shown that in the Stefan problem with "supercooling," the liquid temperature may be less than the temperature of the phase transition, i.e., the liquid may be "supercooled" while the solid may be "superheated." Bibliography: 8 titles. © 2006. Springer Science+Business Media, Inc.

引用

页码：3672 / 3681

页数：9

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