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Steady vortex patch with polygonal symmetry for the planar Euler equations in a disc
Cao, Daomin1,2; Wan, Jie2,3; Wang, Guodong4
2020-02-01
Source PublicationNONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
ISSN1468-1218
Volume51Pages:19
AbstractIn 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.
KeywordFluid dynamics Incompressible Euler flows Vortex patch
DOI10.1016/j.nonrwa.2019.103008
Language英语
Funding ProjectNNSF of China[11771469] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000488994500032
PublisherPERGAMON-ELSEVIER SCIENCE LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/35799
Collection应用数学研究所
Corresponding AuthorWan, Jie
Affiliation1.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
Recommended Citation
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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