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Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain
Wang, Guodong1; Zuo, Bijun2,3
2020-07-15
Source PublicationJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN0022-247X
Volume487Issue:2Pages:15
AbstractIn this paper, we study the possible equilibrium states of the 2D incompressible Euler equations in a bounded domain. By solving a suitable minimization problem, we prove existence of a new type of steady Euler flows in which the vorticity vanishes on a finite number of compact sets of small diameter and is a positive constant elsewhere. The locations of those small compact sets are determined by the geometry of the domain. (C) 2020 Elsevier Inc. All rights reserved.
KeywordEuler equations Vortex patch Variational problem Limiting behavior
DOI10.1016/j.jmaa.2020.124012
Indexed BySCI
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000525905000019
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/51083
Collection中国科学院数学与系统科学研究院
Corresponding AuthorZuo, Bijun
Affiliation1.Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Peoples R China
2.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Wang, Guodong,Zuo, Bijun. Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2020,487(2):15.
APA Wang, Guodong,&Zuo, Bijun.(2020).Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,487(2),15.
MLA Wang, Guodong,et al."Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 487.2(2020):15.
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