On desingularization of steady vortex for the lake equations

doi:10.1093/imamat/hxab042

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	On desingularization of steady vortex for the lake equations
	Cao, Daomin 2,3; Zhan, Weicheng 1; Zou, Changjun 2,3
刊名	IMA JOURNAL OF APPLIED MATHEMATICS
	2022-01-22
卷号	87 期号:1 页码:50-79
关键词	steady vortex solutions elliptic equations variational method desingularization maximizer
ISSN号	0272-4960
DOI	10.1093/imamat/hxab042
英文摘要	In this paper, we constructed a family of steady vortex solutions for the lake equations with a general vorticity function, which constitutes a desingularization of a singular vortex. The precise localization of the asymptotic singular vortex is shown to be the deepest position of the lake. We also study global nonlinear stability for these solutions. Some qualitative and asymptotic properties are also established.
资助项目	National Natural Science Foundation of China[11771469] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021]
WOS研究方向	Mathematics
语种	英语
出版者	OXFORD UNIV PRESS
WOS记录号	WOS:000761453000003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60050]
专题	应用数学研究所
通讯作者	Zhan, Weicheng
作者单位	1.Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Cao, Daomin,Zhan, Weicheng,Zou, Changjun. On desingularization of steady vortex for the lake equations[J]. IMA JOURNAL OF APPLIED MATHEMATICS,2022,87(1):50-79.
APA	Cao, Daomin,Zhan, Weicheng,&Zou, Changjun.(2022).On desingularization of steady vortex for the lake equations.IMA JOURNAL OF APPLIED MATHEMATICS,87(1),50-79.
MLA	Cao, Daomin,et al."On desingularization of steady vortex for the lake equations".IMA JOURNAL OF APPLIED MATHEMATICS 87.1(2022):50-79.