Steady vortex patch with polygonal symmetry for the planar Euler equations in a disc

doi:10.1016/j.nonrwa.2019.103008

CSpace > 应用数学研究所

	Steady vortex patch with polygonal symmetry for the planar Euler equations in a disc
	Cao, Daomin1,2 ; Wan, Jie 2,3; Wang, Guodong 4
	2020-02-01
发表期刊	NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
ISSN	1468-1218
卷号	51 页码:19
摘要	In this paper, we construct two types of vortex patch equilibria for the two-dimensional Euler equations in a disc. The first type is called the "N+1 type" equilibrium, in which a central vortex patch is surrounded by N identical patches with opposite signs, and the other type is called the "2N type" equilibrium, in which the centers of N identical positive patches and N negative patches lie evenly on a circle. The construction is performed by solving a variational problem for the vorticity in which the kinetic energy is maximized subject to some symmetry constraints, and then analyzing the asymptotic behavior as the vorticity strength goes to infinity. (C) 2019 Elsevier Ltd. All rights reserved.
关键词	Fluid dynamics Incompressible Euler flows Vortex patch
DOI	10.1016/j.nonrwa.2019.103008
语种	英语
资助项目	NNSF of China[11771469] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000488994500032
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35799
专题	应用数学研究所
通讯作者	Wan, Jie
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 4.Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Heilongjiang, Peoples R China
推荐引用方式 GB/T 7714	Cao, Daomin,Wan, Jie,Wang, Guodong. Steady vortex patch with polygonal symmetry for the planar Euler equations in a disc[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,2020,51:19.
APA	Cao, Daomin,Wan, Jie,&Wang, Guodong.(2020).Steady vortex patch with polygonal symmetry for the planar Euler equations in a disc.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,51,19.
MLA	Cao, Daomin,et al."Steady vortex patch with polygonal symmetry for the planar Euler equations in a disc".NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 51(2020):19.