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

doi:10.1016/j.na.2022.113186

CSpace > 应用数学研究所

	Co-rotating and traveling vortex sheets for the 2D incompressible Euler equation
	Cao, Daomin1,2 ; Qin, Guolin 1,2; Zou, Changjun 3
	2023-03-01
发表期刊	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN	0362-546X
卷号	228 页码:21
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.
关键词	The Euler equation Vortex sheets Birkhoff-Rott operator Implicit function theorem
DOI	10.1016/j.na.2022.113186
收录类别	SCI
语种	英语
资助项目	NNSF of China[11831009]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000897552200004
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60519
专题	应用数学研究所
通讯作者	Zou, Changjun
作者单位	1.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, 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.