Vortex patch problem for steady lake equation

doi:10.1063/5.0068782

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	Vortex patch problem for steady lake equation
	Cao, Daomin ; Qin, Guolin ; Zou, Changjun 2
刊名	JOURNAL OF MATHEMATICAL PHYSICS
	2022-06-01
卷号	63 期号:6 页码:25
ISSN号	0022-2488
DOI	10.1063/5.0068782
英文摘要	We study the vortex patch problem for the steady lake equation in a bounded domain and construct three different kinds of solutions where the vorticity concentrates in the domain or near the boundary. Our approach is based on the Lyapunov-Schmidt reduction, which transforms the construction into a problem of seeking critical points for a function related to the kinetic energy. The method in this paper has a wide applicability and can be used to deal with general elliptic equations in divergence form with Heaviside nonlinearity. Published under an exclusive license by AIP Publishing.
资助项目	NNSF of China[11831009]
WOS研究方向	Physics
语种	英语
出版者	AIP Publishing
WOS记录号	WOS:000812570600003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/61568]
专题	应用数学研究所
通讯作者	Zou, Changjun
作者单位	1.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Cao, Daomin,Qin, Guolin,Zou, Changjun. Vortex patch problem for steady lake equation[J]. JOURNAL OF MATHEMATICAL PHYSICS,2022,63(6):25.
APA	Cao, Daomin,Qin, Guolin,&Zou, Changjun.(2022).Vortex patch problem for steady lake equation.JOURNAL OF MATHEMATICAL PHYSICS,63(6),25.
MLA	Cao, Daomin,et al."Vortex patch problem for steady lake equation".JOURNAL OF MATHEMATICAL PHYSICS 63.6(2022):25.