Stability of solutions of nonlinear parabolic equations for harmonic mean curvature flows

被引：1

作者：

Anada, K ^{[1
]}

Tsutsumi, M ^{[1
]}

机构：

[1] Waseda Univ, Dept Appl Phys, Tokyo, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 51卷 / 02期

关键词：

harmonic mean curvature; stability; self similar solutions; bifurcation;

D O I：

10.1016/S0362-546X(01)00832-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The stability of solutions of nonlinear parabolic equations for harmonic mean curvature flows was presented. The study of contractions of strictly convex surfaces evolving along the inner normal rate at a rate equal to their harmonic mean curvature to the power of 1/β was also presented. The asymptotic behavior of evolving surfaces was also studied. Results implied that the problem had various evolving patterns which were not spherical.

引用

页码：305 / 319

页数：15

共 8 条

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ANDREWS, B
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