A center manifold analysis for the Mullins-Sekerka model

被引：101

作者：

Escher, J ^{[1
]}

Simonett, G

机构：

[1] Univ Basel, Inst Math, CH-4051 Basel, Switzerland

[2] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1998年 / 143卷 / 02期

关键词：

Mullins-Sekerka model; mean curvature; free boundary problem; generalized motion by mean curvature; center manifold;

D O I：

10.1006/jdeq.1997.3373

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Mullins-Sekerka model is a nonlocal evolution model for hypersurfaces, which arises as a singular limit for the Cahn-Hilliard equation. We show that classical solutions exist globally and tend to spheres exponentially fast, provided that they are close to a sphere initially. Our analysis is based on center manifold theory and on maximal regularity. (C) 1998 Academic Press.

引用

页码：267 / 292

页数：26

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