Co-rotating and traveling vortex sheets for the 2D incompressible Euler equation

doi:10.1016/j.na.2022.113186

	Co-rotating and traveling vortex sheets for the 2D incompressible Euler equation
	Cao, Daomin 1,2; Qin, Guolin 1,2; Zou, Changjun 3
刊名	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
	2023-03-01
卷号	228 页码:21
关键词	The Euler equation Vortex sheets Birkhoff-Rott operator Implicit function theorem
ISSN号	0362-546X
DOI	10.1016/j.na.2022.113186
英文摘要	We construct co-rotating and traveling vortex sheets for 2D incompressible Euler equation, which are supported on several small closed curves. These examples represent a new type of vortex sheet solutions other than two known classes. The construction is based on Birkhoff-Rott operator, and accomplished by using implicit function theorem at point vortex solutions with suitably chosen function spaces. (c) 2022 Elsevier Ltd. All rights reserved.
资助项目	NNSF of China[11831009]
WOS研究方向	Mathematics
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000897552200004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60518]
专题	中国科学院数学与系统科学研究院
通讯作者	Zou, Changjun
作者单位	1.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 3.Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
推荐引用方式 GB/T 7714	Cao, Daomin,Qin, Guolin,Zou, Changjun. Co-rotating and traveling vortex sheets for the 2D incompressible Euler equation[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2023,228:21.
APA	Cao, Daomin,Qin, Guolin,&Zou, Changjun.(2023).Co-rotating and traveling vortex sheets for the 2D incompressible Euler equation.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,228,21.
MLA	Cao, Daomin,et al."Co-rotating and traveling vortex sheets for the 2D incompressible Euler equation".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 228(2023):21.