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
Source Publication	IMA JOURNAL OF APPLIED MATHEMATICS
ISSN	0272-4960
Volume	87 Issue:1 Pages:50-79
Abstract	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.
Keyword	steady vortex solutions elliptic equations variational method desingularization maximizer
DOI	10.1093/imamat/hxab042
Indexed By	SCI
Language	英语
Funding Project	National Natural Science Foundation of China[11771469] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021]
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied
WOS ID	WOS:000761453000003
Publisher	OXFORD UNIV PRESS
Citation statistics
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/60051
Collection	应用数学研究所
Corresponding Author	Zhan, Weicheng
Affiliation	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
Recommended Citation 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.

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