Steady vortex patch solutions to the vortex-wave system

doi:10.1088/1361-6544/aafe14

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	Steady vortex patch solutions to the vortex-wave system
	Cao, Daomin1,2 ; Wang, Guodong 2,3
刊名	NONLINEARITY
	2019-05-01
卷号	32 期号:5 页码:1882-1904
关键词	vortex-wave system vortex patch Euler equation Kirchhoff-Routh function maximization desingularization
ISSN号	0951-7715
DOI	10.1088/1361-6544/aafe14
英文摘要	The vortex-wave system describes the motion of a two-dimensional ideal fluid in which the vorticity includes continuously distributed vorticity, which is called the background vorticity, and a finite number of concentrated vortices. In this paper we restrict ourselves to the case of a single point vortex in a planar bounded domain. We prove that there exists a family of steady solutions to this system whose background vorticity is a vortex patch with prescribed distribution. Moreover, we show that these vortex patches 'shrink' to a minimum point of the Kirchhoff-Routh function as the strength parameter of the background vorticity goes to infinity.
资助项目	NNSF of China[11771469] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021]
WOS研究方向	Mathematics ; Physics
语种	英语
出版者	IOP PUBLISHING LTD
WOS记录号	WOS:000464717200002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/34427]
专题	应用数学研究所
通讯作者	Cao, Daomin
作者单位	1.Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510405, Guangdong, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Cao, Daomin,Wang, Guodong. Steady vortex patch solutions to the vortex-wave system[J]. NONLINEARITY,2019,32(5):1882-1904.
APA	Cao, Daomin,&Wang, Guodong.(2019).Steady vortex patch solutions to the vortex-wave system.NONLINEARITY,32(5),1882-1904.
MLA	Cao, Daomin,et al."Steady vortex patch solutions to the vortex-wave system".NONLINEARITY 32.5(2019):1882-1904.