Mean curvature flow with driving force on fixed extreme points

Longjie Zhang

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arXiv · 1703.10709

Mean curvature flow with driving force on fixed extreme points

Longjie Zhang

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Abstract

In this paper, we consider the mean curvature flow with driving force on fixed extreme points in the plane. We give a general local existence and uniqueness result of this problem with $C^2$ initial curve. For a special family of initial curves, we classify the solutions into three categories. Moreover, in each category, the asymptotic behavior is given.

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Longjie Zhang. 2017-03-30. Mean curvature flow with driving force on fixed extreme points. https://arxiv.org/abs/1703.10709

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