A reaction-diffusion system approximation to the two-phase Stefan problem

被引：5

作者：

Hilhorst, D ^{[1
]}

Iida, M

Mimura, M

Ninomiya, H

机构：

[1] Univ Paris Sud, Lab Math Anal Numer, F-91405 Orsay, France

[2] Univ Paris Sud, EDP, F-91405 Orsay, France

[3] Iwate Univ, Fac Engn, Dept Math, Morioka, Iwate 0208550, Japan

[4] Hiroshima Univ, Grad Sch Sci, Inst Nonlinear Sci & Appl Math, Higashihiroshima 7398526, Japan

[5] Ryukoku Univ, Dept Appl Math & Informat, Ohtsu, Shiga 5202194, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 47卷 / 02期

关键词：

reaction-diffusion system; Stefan problem; singular limit; latent heat; order-preserving system;

D O I：

10.1016/S0362-546X(01)00224-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is well known that the classical two-phase Stefan problem, which is an order-preserving system, can be regarded as a singular limit of a phase field model. However the rigorous analysis of the phase field model is not easy, because it is not an order-preserving system and also is strongly coupled. In this article it is clarified that the two-phase Stefan problem can actually be regarded as a singular limit of an order-preserving reaction-diffusion system which is also weakly coupled. This system is expected to bring new effective approaches to the study of the two-phase Stefan problem.

引用

页码：801 / 812

页数：12

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