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

页码：1 / 26

页数：26

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