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, Daomin1,2 ; Zhan, Weicheng 3; Zou, Changjun 1,2
	2022-01-22
发表期刊	IMA JOURNAL OF APPLIED MATHEMATICS
ISSN	0272-4960
卷号	87 期号:1 页码:50-79
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.
关键词	steady vortex solutions elliptic equations variational method desingularization maximizer
DOI	10.1093/imamat/hxab042
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11771469] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000761453000003
出版者	OXFORD UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60051
专题	应用数学研究所
通讯作者	Zhan, Weicheng
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, 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.