GLOBAL SOLUTIONS TO AN INITIAL BOUNDARY VALUE PROBLEM FOR THE MULLINS EQUATION

被引：0

作者：

Alber, Hans -Dieter ^{[1
]}

Zhu Peicheng ^{[1
]}

机构：

[1] Tech Univ Darmstadt, Dept Math, Schlossgartenstr 7, D-64289 Darmstadt, Germany

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2007年 / 20卷 / 01期

关键词：

Mullins equation; initial boundary value problem; global solutions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we study the global existence of solutions to an initial boundary value problem for the Mullins equation which describes the groove development at the grain boundaries of a heated polycrystal, both the Dirichlet and the Neumann boundary conditions are considered. For the classical solution we also investigate the large time behavior, it is proved that the solution converges to a constant, in the L-infinity(Omega) - norm, as time tends to infinity.

引用

页码：30 / 44

页数：15

共 15 条

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