Singularities of Mean Curvature Flow of Surfaces with Additional Forces

Ao Sun

Singularities of Mean Curvature Flow of Surfaces with Additional Forces

Differential Geometry 2018-08-14 v1

Authors: Ao Sun

Abstract

In this paper we study the blow up sequence of mean curvature flow of surfaces in $\mathbb R^3$ with additional forces. We prove that the blow up limit of a mean curvature flow of smoothly embedded surfaces with additional forces with finite entropy is a smoothly embedded self-shrinker.

Keywords

mean curvature flow surfaces with additional forces blow up limit self-shrinker finite entropy

Cite

@article{arxiv.1808.03937,
  title  = {Singularities of Mean Curvature Flow of Surfaces with Additional Forces},
  author = {Ao Sun},
  journal= {arXiv preprint arXiv:1808.03937},
  year   = {2018}
}

Comments

25 pages, comments are welcomed!

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