Affine self-similar solutions of the affine curve shortening flow I: The degenerate case

被引：1
作者：
Yu, Chengjie [1 ]
Zhao, Feifei [2 ]
机构：
[1] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China
[2] North China Inst Aerosp Engn, Sch Liberal Arts & Sci, Langfang 065000, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2021年 / 285卷
基金：
中国国家自然科学基金;
关键词：
Self-similar solution; Affine transformation; Curve shortening flow;
D O I：
10.1016/j.jde.2021.03.029
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider affine self-similar solutions for the affine curve shortening flow in the Euclidean plane. We obtain the equations of all affine self-similar solutions up to affine transformations and solve the equations or give descriptions of the solutions for the degenerate case. Some new special solutions for the affine curve shortening flow are found. (C) 2021 Elsevier Inc. All rights reserved.
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收藏
页码：686 / 713
页数：28
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