Local existence and uniqueness of skew mean curvature flow

被引：5
|
作者：
Song, Chong [1 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2021年 / 776卷
基金：
中国国家自然科学基金;
关键词：
SCHRODINGER FLOW; DYNAMICS; MAP; SOBOLEV;
D O I：
10.1515/crelle-2021-0023
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Skew Mean Curvature Flow (SMCF) is a Schrodinger-type geometric flow canonically defined on a co-dimension two submanifold, which generalizes the famous vortex filament equation in fluid dynamics. In this paper, we prove the local existence and uniqueness of general-dimensional SMCF in Euclidean spaces.
引用
收藏
页码：1 / 26
页数：26
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