On volume-preserving crystalline mean curvature flow

被引：3

作者：

Kim, Inwon ^{[1
]}

Kwon, Dohyun ^{[2
]}

Pozar, Norbert ^{[3
]}

机构：

[1] UCLA, Dept Math, Los Angeles, CA 90024 USA

[2] Univ Wisconsin, Dept Math, 480 Lincoln Dr, Madison, WI 53706 USA

[3] Kanazawa Univ, Fac Math & Phys, Inst Sci & Engn, Kanazawa, Ishikawa 9201192, Japan

来源：

MATHEMATISCHE ANNALEN | 2022年 / 384卷 / 1-2期

关键词：

IMPLICIT TIME DISCRETIZATION; LEVEL SETS; MOTION; EXISTENCE; UNIQUENESS;

D O I：

10.1007/s00208-021-02286-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work we consider the global existence of volume-preserving crystalline curvature flowin a non-convex setting. We showthat a natural geometric property, associated with reflection symmetries of the Wulff shape, is preserved with the flow. Using this geometric property, we address global existence and regularity of the flow for smooth anisotropies. For the non-smooth case we establish global existence results for the types of anisotropies known to be globally well-posed.

引用

页码：733 / 774

页数：42

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