A log-type non-local flow of convex curves

被引：0
|
作者：
Gao, Laiyuan [1 ]
Pan, Shengliang [2 ]
Shi, Ke [2 ]
机构：
[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
[2] Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China
来源：
COMMUNICATIONS IN ANALYSIS AND GEOMETRY | 2021年 / 29卷 / 05期
基金：
中国国家自然科学基金;
关键词：
EVOLUTION PROBLEM; CURVATURE;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a log-type non-local flow of closed convex plane curves is studied. This flow decreases the perimeter of the evolving curve, increases the area it bounds and deforms it into a finite circle as time goes to infinity.
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页码：1157 / 1182
页数：26
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