MULTISCALE STEADY VORTEX PATCHES FOR 2D INCOMPRESSIBLE EULER EQUATIONS

doi:10.1137/21M1390529

	MULTISCALE STEADY VORTEX PATCHES FOR 2D INCOMPRESSIBLE EULER EQUATIONS
	Cao, Daomin 1,2; Wan, Jie 3
刊名	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
	2022
卷号	54 期号:2 页码:1488-1514
关键词	steady vortex patch desingularization Kirchhoff--Routh function Robin function variational method
ISSN号	0036-1410
DOI	10.1137/21M1390529
英文摘要	In this paper, we study the existence and qualitative properties of multiscale steady vortex patches for Euler equations in a 2D bounded domain. By considering certain maximization problems for the vorticity, we obtain the existence of double vortex patches which are trapped in a neighborhood of two points. Limiting localizations of these two points are determined by the Robin function and the boundary of the domain, rather than critical points of the Kirchhoff--Routh function H2, which is quite different from all the known results. Moreover, the strengths of two components of vorticity are of different order. Multiscale vortex patches concentrating near k points are also constructed for any integer k \geq 2.
资助项目	National Natural Science Foun-dation of China[11831009] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021] ; National Natural Science Foundation of China[12101045] ; Beijing Institute of Technology Research Fund Program for Young Scholars[3170011182016]
WOS研究方向	Mathematics
语种	英语
出版者	SIAM PUBLICATIONS
WOS记录号	WOS:000797597300006
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/61351]
专题	中国科学院数学与系统科学研究院
通讯作者	Cao, Daomin
作者单位	1.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
推荐引用方式 GB/T 7714	Cao, Daomin,Wan, Jie. MULTISCALE STEADY VORTEX PATCHES FOR 2D INCOMPRESSIBLE EULER EQUATIONS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2022,54(2):1488-1514.
APA	Cao, Daomin,&Wan, Jie.(2022).MULTISCALE STEADY VORTEX PATCHES FOR 2D INCOMPRESSIBLE EULER EQUATIONS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,54(2),1488-1514.
MLA	Cao, Daomin,et al."MULTISCALE STEADY VORTEX PATCHES FOR 2D INCOMPRESSIBLE EULER EQUATIONS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 54.2(2022):1488-1514.