Desingularization of vortex rings in 3 dimensional Euler flows

doi:10.1016/j.jde.2020.09.014

CSpace > 应用数学研究所

	Desingularization of vortex rings in 3 dimensional Euler flows
	Cao, Daomin1,2 ; Wan, Jie 3; Zhan, Weicheng 2,4
	2021-01-05
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	270 页码:1258-1297
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.
DOI	10.1016/j.jde.2020.09.014
收录类别	SCI
语种	英语
资助项目	NNSF of China[11831009] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000584321500036
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52496
专题	应用数学研究所
通讯作者	Wan, Jie; Zhan, Weicheng
作者单位	1.Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510405, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 3.Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China 4.Univ Chinese Acad Sci, Beijing 100049, 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.