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
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
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页码:305 / 319
页数:15
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