Desingularization of vortex rings in 3 dimensional Euler flows

doi:10.1016/j.jde.2020.09.014

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	Desingularization of vortex rings in 3 dimensional Euler flows
	Cao, Daomin 3,4; Wan, Jie 2; Zhan, Weicheng 1,3
刊名	JOURNAL OF DIFFERENTIAL EQUATIONS
	2021-01-05
卷号	270 页码:1258-1297
ISSN号	0022-0396
DOI	10.1016/j.jde.2020.09.014
英文摘要	In this paper, we are concerned with nonlinear desingularization of steady vortex rings of three-dimensional incompressible Euler fluids. We focus on the case when the vorticity function has a simple discontinuity, which corresponding to a jump in vorticity at the boundary of the cross-section of the vortex ring. Using the vorticity method, we construct a family of steady vortex rings which constitute a desingularization of the classical circular vortex filament in several kinds of domains. The precise localization of the asymptotic singular vortex filament is proved to depend on the circulation and the velocity at far fields of the vortex ring, and the geometry of the domains. Some qualitative and asymptotic properties are also established. (C) 2020 Elsevier Inc. All rights reserved.
资助项目	NNSF of China[11831009] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021]
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000584321500036
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/52495]
专题	应用数学研究所
通讯作者	Wan, Jie; Zhan, Weicheng
作者单位	1.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 2.Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China 3.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 4.Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510405, Peoples R China
推荐引用方式 GB/T 7714	Cao, Daomin,Wan, Jie,Zhan, Weicheng. Desingularization of vortex rings in 3 dimensional Euler flows[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2021,270:1258-1297.
APA	Cao, Daomin,Wan, Jie,&Zhan, Weicheng.(2021).Desingularization of vortex rings in 3 dimensional Euler flows.JOURNAL OF DIFFERENTIAL EQUATIONS,270,1258-1297.
MLA	Cao, Daomin,et al."Desingularization of vortex rings in 3 dimensional Euler flows".JOURNAL OF DIFFERENTIAL EQUATIONS 270(2021):1258-1297.