Steady vortex patches near a nontrivial irrotational flow

doi:10.1007/s11425-018-9495-1

	Steady vortex patches near a nontrivial irrotational flow
	Cao, Daomin 1,2; Wang, Guodong 1,2; Zhan, Weicheng 1,2
刊名	SCIENCE CHINA-MATHEMATICS
	2021-05-01
卷号	64 期号:5 页码:947-962
关键词	Euler equation incompressible fluids vortex patch variational problem irrotational flow
ISSN号	1674-7283
DOI	10.1007/s11425-018-9495-1
英文摘要	In this paper, we study the vortex patch problem in an ideal fluid in a planar bounded domain. By solving a certain minimization problem and studying the limiting behavior of the minimizer, we prove that for any harmonic function q corresponding to a nontrivial irrotational flow, there exists a family of steady vortex patches approaching the set of extreme points of q on the boundary of the domain. Furthermore, we show that each finite collection of strict extreme points of q corresponds to a family of steady multiple vortex patches approaching it.
WOS研究方向	Mathematics
语种	英语
出版者	SCIENCE PRESS
WOS记录号	WOS:000644638800005
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58671]
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Guodong
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Cao, Daomin,Wang, Guodong,Zhan, Weicheng. Steady vortex patches near a nontrivial irrotational flow[J]. SCIENCE CHINA-MATHEMATICS,2021,64(5):947-962.
APA	Cao, Daomin,Wang, Guodong,&Zhan, Weicheng.(2021).Steady vortex patches near a nontrivial irrotational flow.SCIENCE CHINA-MATHEMATICS,64(5),947-962.
MLA	Cao, Daomin,et al."Steady vortex patches near a nontrivial irrotational flow".SCIENCE CHINA-MATHEMATICS 64.5(2021):947-962.