Asymptotic behaviour of global vortex rings

doi:10.1088/1361-6544/ac7497

CSpace > 应用数学研究所

	Asymptotic behaviour of global vortex rings
	Cao, Daomin1,2 ; Wan, Jie 3; Wang, Guodong 4; Zhan, Weicheng 5
	2022-07-07
发表期刊	NONLINEARITY
ISSN	0951-7715
卷号	35 期号:7 页码:3680-3705
摘要	In this paper, we are concerned with nonlinear desingularization of steady vortex rings in R-3 with a general nonlinearity f. Using the improved vorticity method, we construct a family of steady vortex rings which constitute a desingularization of the classical circular vortex filament in the whole space. The requirements on f are very general, and it may not satisfy the Ambrosetti-Rabinowitz condition. Some qualitative and asymptotic properties are also established.
关键词	incompressible Euler equations vortex ring variational method dcsingularization
DOI	10.1088/1361-6544/ac7497
收录类别	SCI
语种	英语
资助项目	NNSF of China[12001135] ; NNSF of China[12071098] ; NNSF of China[11831009] ; NNSF of China[12101045] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021] ; Beijing Institute of Technology Research Fund Program for Young Scholars[3170011182016] ; China Postdoctoral Science Foundation[2019M661261] ; China Postdoctoral Science Foundation[2021T140163]
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000817740600001
出版者	IOP Publishing Ltd
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/61221
专题	应用数学研究所
通讯作者	Wan, Jie
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 4.Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Peoples R China 5.Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
推荐引用方式 GB/T 7714	Cao, Daomin,Wan, Jie,Wang, Guodong,et al. Asymptotic behaviour of global vortex rings[J]. NONLINEARITY,2022,35(7):3680-3705.
APA	Cao, Daomin,Wan, Jie,Wang, Guodong,&Zhan, Weicheng.(2022).Asymptotic behaviour of global vortex rings.NONLINEARITY,35(7),3680-3705.
MLA	Cao, Daomin,et al."Asymptotic behaviour of global vortex rings".NONLINEARITY 35.7(2022):3680-3705.