Local existence and uniqueness of skew mean curvature flow-Reference-Cited by-同舟云学术

Local existence and uniqueness of skew mean curvature flow

Published:2021-05-09 Issue:776 Volume:2021 Page:1-26
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:en
Short-container-title:

Author:

Song Chong¹^ORCID

Affiliation:

1. School of Mathematical Sciences , Xiamen University , Xiamen , 361005 , P. R. China

Abstract

Abstract The Skew Mean Curvature Flow (SMCF) is a Schrödinger-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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2021-0023/pdf

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