Stationary Fix-Caginalp equation with non-local term

被引：14

作者：

Suzuki, Takashi ^{[1
]}

Tasaki, Souhei ^{[1
]}

机构：

[1] Osaka Univ, Grad Sch Engn Sci, Dept Syst Innovat, Div Math Sci, Osaka 5608531, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 3-4期

关键词：

Non-isothermal phase transition; Fix-Caginalp model; Dual variation; Non-local elliptic problem; PHASE FIELD MODEL; ASYMPTOTIC-BEHAVIOR; TRANSITIONS; STABILITY; BOUNDARY;

D O I：

10.1016/j.na.2008.12.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Fix-Caginalp equation describing non-isothermal solid-liquid phase transition. First, we formulate a thermally closed stationary state as a nonlinear eigenvalue problem with a non-local term. Then, some results on multiple existence, stability, and bifurcation of the solution are proven. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1329 / 1349

页数：21

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