Mean curvature flow with driving force on fixed extreme points
Dynamical Systems
2017-04-03 v1
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 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.
Cite
@article{arxiv.1703.10709,
title = {Mean curvature flow with driving force on fixed extreme points},
author = {Longjie Zhang},
journal= {arXiv preprint arXiv:1703.10709},
year = {2017}
}