On mean curvature flow with driving force starting as singular initial hypersurface

Abstract

We consider an axisymmetric closed hypersurface evolving by its mean curvature with driving force under singular initial hypersurface. We study this problem by level set method. We give some criteria to judge whether the interface evolution is fattening or non-fattening.

arXiv admin note: text overlap with arXiv:1703.10707