A NONLOCAL TWO-PHASE STEFAN PROBLEM

被引：0
|
作者：
Chasseigne, Emmanuel [1 ]
Sastre-Gomez, Silvia [2 ]
机构：
[1] UF Rabelais, Lab Math & Phys Theor, F-37200 Tours, France
[2] U Complutense Madrid, Dept Matemat Aplicada, Madrid, Spain
来源：
DIFFERENTIAL AND INTEGRAL EQUATIONS | 2013年 / 26卷 / 11-12期
关键词：
PHASE-TRANSITIONS; MODEL;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a nonlocal version of the two-phase Stefan problem, which models a phase-transition problem between two distinct phases evolving to distinct heat equations. Mathematically speaking, this consists in deriving a theory for sign-changing solutions of the equation, u(t) = J * v - v, v = Gamma(u), where the monotone graph is given by Gamma(s) = sign(s)(vertical bar s vertical bar - 1)+. We give general results of existence, uniqueness and comparison, in the spirit of [2]. Then we focus on the study of the asymptotic behavior for sign-changing solutions, which present challenging difficulties due to the nonmonotone evolution of each phase.
引用
收藏
页码：1335 / 1360
页数：26
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