NONLINEAR STABILITY OF STATIONARY SOLUTIONS FOR SURFACE DIFFUSION WITH BOUNDARY CONDITIONS

被引：9

作者：

Garcke, Harald ^{[1
]}

Ito, Kazuo ^{[2
]}

Kohsaka, Yoshihito ^{[3
]}

机构：

[1] Univ Regensburg, NWFI Math, D-93040 Regensburg, Germany

[2] Adv Algorithm & Syst, Tokyo 1500013, Japan

[3] Muroran Inst Technol, Muroran, Hokkaido 0508585, Japan

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2008年 / 40卷 / 02期

关键词：

surface diffusion; nonlinear stability; energy method; variational calculus;

D O I：

10.1137/070694752

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The volume-preserving fourth order surface diffusion flow has constant mean curvature hypersurfaces as stationary solutions. We show nonlinear stability of certain stationary curves in the plane which meet an exterior boundary with a prescribed contact angle. Methods include semigroup theory, energy arguments, geometric analysis, and variational calculus.

引用

页码：491 / 515

页数：25

共 24 条

[1] HOLDER CLASSES WITH BOUNDARY-CONDITIONS AS INTERPOLATION SPACES [J].