Steady vortex patches with opposite rotation directions in a planar ideal fluid

doi:10.1007/s00526-019-1503-6

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	Steady vortex patches with opposite rotation directions in a planar ideal fluid
	Cao, Daomin1,2 ; Wang, Guodong 3,4
刊名	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
	2019-04-01
卷号	58 期号:2 页码:17
ISSN号	0944-2669
DOI	10.1007/s00526-019-1503-6
英文摘要	In this paper we consider steady vortex solutions for the ideal incompressible Euler equation in a planar bounded domain. By solving a variational problem for the vorticity, we construct steady vortex patches with opposite rotation directions concentrated at a strict local minimum point of the Kirchhoff-Routh function with k=2. Moreover, we show that such steady vortex patches are in fact local maximizers of the kinetic energy among isovortical patches, which correlates stability to uniqueness.
资助项目	NNSF of China[11771469] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000462252100003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/34236]
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, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Cao, Daomin,Wang, Guodong. Steady vortex patches with opposite rotation directions in a planar ideal fluid[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2019,58(2):17.
APA	Cao, Daomin,&Wang, Guodong.(2019).Steady vortex patches with opposite rotation directions in a planar ideal fluid.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,58(2),17.
MLA	Cao, Daomin,et al."Steady vortex patches with opposite rotation directions in a planar ideal fluid".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 58.2(2019):17.