The self-similar expanding curve for the curvature flow equation

被引：8
|
作者：
Chern, HH
Guo, JS
Lo, CP
机构：
[1] Natl Taiwan Ocean Univ, Dept Comp & Informat Sci, Chilung, Taiwan
[2] Natl Taiwan Normal Univ, Dept Math, Taipei 117, Taiwan
[3] Providence Univ, Dept Appl Math, Shalu 433, Taichung County, Taiwan
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2003年 / 131卷 / 10期
关键词：
D O I：
10.1090/S0002-9939-03-07055-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a two-point free boundary problem for the curvature flow equation. By studying the corresponding nonlinear initial value problem, we obtain the existence and uniqueness of the forward self-similar solution of this problem. The corresponding curve is called the self-similar expanding curve. We also derive the asymptotic stability of this curve.
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页码：3191 / 3201
页数：11
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