Local uniqueness of vortices for 2D steady Euler flow in a bounded domain

doi:10.1016/j.jfa.2022.109603

	Local uniqueness of vortices for 2D steady Euler flow in a bounded domain
	Cao, Daomin 1,2; Yu, Weilin 1,2; Zou, Changjun 3
刊名	JOURNAL OF FUNCTIONAL ANALYSIS
	2022-11-01
卷号	283 期号:9 页码:43
关键词	The steady Euler equation Kirchhoff-Routh function Local uniqueness Nonlinear stability
ISSN号	0022-1236
DOI	10.1016/j.jfa.2022.109603
英文摘要	We study the 2D Euler equation in a bounded simply -connected domain, and establish the local uniqueness of flow whose stream function psi(epsilon) satisfies ? -epsilon(2) delta psi epsilon = sigma(i=1) (k) 1(B delta) (z(0,i))(psi(epsilon) -mu(epsilon),i)gamma+, in omega,psi(epsilon) = 0, on & part;omega,with epsilon -> 0(+) the scale parameter of vortices, gamma is an element of (0, infinity), omega & SUB; R-2 a bounded simply connected Lipschitz domain, z(0),(i) is an element of omega the limiting location of i(th) vortex, and mu(epsilon,i )the flux constants unprescribed. Our proof is achieved by a detailed description of asymptotic behavior for psi(epsilon) and Pohozaev identity technique. For k = 1, we prove the nonlinear stability of corresponding vorticity in L(p )norm, provided that z(0,1) is a non-degenerate minimum point of Robin function. This stability result can be generalized to the case k >= 2, and (z(0,1), ..., z(0,k)) is an element of &omega(k) being a non-degenerate minimum point of the Kirchhoff-Routh function.
资助项目	NNSF of China[11831009]
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000830996400003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/61178]
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.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,Yu, Weilin,Zou, Changjun. Local uniqueness of vortices for 2D steady Euler flow in a bounded domain[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2022,283(9):43.
APA	Cao, Daomin,Yu, Weilin,&Zou, Changjun.(2022).Local uniqueness of vortices for 2D steady Euler flow in a bounded domain.JOURNAL OF FUNCTIONAL ANALYSIS,283(9),43.
MLA	Cao, Daomin,et al."Local uniqueness of vortices for 2D steady Euler flow in a bounded domain".JOURNAL OF FUNCTIONAL ANALYSIS 283.9(2022):43.