The blow up analysis of the general curve shortening flow

2009/08/14 by Huang, RongLi, Bao, JiGuang
#35K45 #35K65 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0908.2036

Abstract

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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