The Blow up Analysis of the General Curve Shortening Flow

被引：1
作者：
Huang, Rong Li [1 ,2 ]
Bao, Ji Guang [2 ]
机构：
[1] Guangxi Normal Univ, Sch Math Sci, Guilin 541004, Peoples R China
[2] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2011年 / 27卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Asymptotic behavior; curve shortening flow; support function; Hausdorff metric; CONVEX CURVES; PLANE; EVOLUTION; EQUATION;
D O I：
10.1007/s10114-011-0126-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that the curvature function satisfies a nonlinear evolution equation under the general curve shortening flow and a detailed asymptotic behavior of the closed curves is presented when they contract to a point in finite time.
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页码：2107 / 2128
页数：22
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