On mean curvature flow with driving force for symmetric motion with singular initial hypersurface

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:268

Article

Mori, Ryunosuke¹  Zhang, Longjie² 

[1] Meiji Univ, Meiji Inst Adv Study Math Sci, 4-12-1 Nakano, Tokyo, Japan

[2] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan

关键词: Mean curvature flow;    Driving force;    Level set method;    Singularity;    Fattening;   

DOI  :  10.1016/j.jde.2019.11.036

来源: Elsevier

【 摘 要 】

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. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free