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

2017/12/27 by Ryunosuke Mori, Mori, Ryunosuke, Longjie Zhang +1 · 1 citation
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1712.09590

openalex publication_date 2017/12/27 · openalex created_date 2018/01/05 · openalex updated_date 2026/07/28

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.

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