Asymptotic behavior of solutions to the phase-field equations with Neumann boundary conditions

被引：45

作者：

Zhang, ZH ^{[1
]}

机构：

[1] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2005年 / 4卷 / 03期

关键词：

phase-field equations; Lojasiewicz-Simon type inequality; gradient system;

D O I：

10.3934/cpaa.2005.4.683

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the asymptotic behavior of solutions to the phase-field equations subject to the Neumann boundary conditions where a Lojasiewicz-Simon type inequality plays an important role. In this paper, convergence of the solution of this problem to an equilibrium, as time goes to infinity, is proved.

引用

页码：683 / 693

页数：11

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