The Blow up Analysis of the General Curve Shortening Flow  

作　　者：Rong Li HUANG Ji Guang BAO 

机构地区：[1]School of Mathematical Sciences, Guangxi Normal University, Guilin 541004, P. R. China [2]School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2011年第11期2107-2128,共22页数学学报（英文版）

基　　金：Supported by NatiOnal Natural Science Foundation of China （Grant No. 10671022） and Doctoral Programme Foundation of Institute of Higher Education of China （Grant No. 20060027023）

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.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.

关 键 词：Asymptotic behavior curve shortening flow support function Hausdorff metric 

分 类 号：O175.8[理学—数学] O411.1[理学—基础数学]