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

文献类型：期刊论文

作者Cao, Daomin3,4; Wan, Jie2,4; Wang, Guodong1
刊名NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
出版日期2020-02-01
卷号51页码:19
ISSN号1468-1218
关键词Fluid dynamics Incompressible Euler flows Vortex patch
DOI10.1016/j.nonrwa.2019.103008
英文摘要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.
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PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号WOS:000488994500032
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/35798]  
专题应用数学研究所
通讯作者Wan, Jie
作者单位1.Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Heilongjiang, Peoples R China
2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
3.Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510405, Guangdong, Peoples R China
4.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, 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.

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来源：数学与系统科学研究院

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