Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain

doi:10.1016/j.jmaa.2020.124012

	Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain
	Wang, Guodong 2; Zuo, Bijun 1,3
刊名	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
	2020-07-15
卷号	487 期号:2 页码:15
关键词	Euler equations Vortex patch Variational problem Limiting behavior
ISSN号	0022-247X
DOI	10.1016/j.jmaa.2020.124012
英文摘要	In this paper, we study the possible equilibrium states of the 2D incompressible Euler equations in a bounded domain. By solving a suitable minimization problem, we prove existence of a new type of steady Euler flows in which the vorticity vanishes on a finite number of compact sets of small diameter and is a positive constant elsewhere. The locations of those small compact sets are determined by the geometry of the domain. (C) 2020 Elsevier Inc. All rights reserved.
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000525905000019
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/51082]
专题	中国科学院数学与系统科学研究院
通讯作者	Zuo, Bijun
作者单位	1.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 2.Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Peoples R China 3.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wang, Guodong,Zuo, Bijun. Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2020,487(2):15.
APA	Wang, Guodong,&Zuo, Bijun.(2020).Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,487(2),15.
MLA	Wang, Guodong,et al."Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 487.2(2020):15.