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

doi:10.1016/j.jmaa.2020.124012

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	Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain
	Wang, Guodong 1; Zuo, Bijun 2,3
	2020-07-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	487 期号:2 页码:15
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.
关键词	Euler equations Vortex patch Variational problem Limiting behavior
DOI	10.1016/j.jmaa.2020.124012
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000525905000019
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51083
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.Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, 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.