On the hydrostatic approximation of the Navier-Stokes equations in a thin strip

doi:10.1016/j.aim.2020.107293

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	On the hydrostatic approximation of the Navier-Stokes equations in a thin strip
	Paicu, Marius 4; Zhang, Ping 2,3,5; Zhang, Zhifei 1
刊名	ADVANCES IN MATHEMATICS
	2020-10-07
卷号	372 页码:42
关键词	Incompressible Navier-Stokes equations Hydrostatic approximation Radius of analyticity
ISSN号	0001-8708
DOI	10.1016/j.aim.2020.107293
英文摘要	In this paper, we first prove the global well-posedness of a scaled anisotropic Navier-Stokes system and the hydrostatic Navier-Stokes system in a 2-D striped domain with small analytic data in the tangential variable. Then we justify the limit from the anisotropic Navier-Stokes system to the hydrostatic Navier-Stokes system with analytic data. (C) 2020 Elsevier Inc. All rights reserved.
资助项目	Agence Nationale de la Recherche, Project IFSMACS[ANR-15-CE40-0010] ; NSF of China[11371347] ; NSF of China[11688101] ; NSF of China[11425103] ; National Center for Mathematics and Interdisciplinary Sciences ; K. C. Wong Education Foundation
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000558460900011
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/52003]
专题	数学所
通讯作者	Zhang, Ping
作者单位	1.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Univ Bordeaux, Inst Math Bordeaux, F-33405 Talence, France 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Paicu, Marius,Zhang, Ping,Zhang, Zhifei. On the hydrostatic approximation of the Navier-Stokes equations in a thin strip[J]. ADVANCES IN MATHEMATICS,2020,372:42.
APA	Paicu, Marius,Zhang, Ping,&Zhang, Zhifei.(2020).On the hydrostatic approximation of the Navier-Stokes equations in a thin strip.ADVANCES IN MATHEMATICS,372,42.
MLA	Paicu, Marius,et al."On the hydrostatic approximation of the Navier-Stokes equations in a thin strip".ADVANCES IN MATHEMATICS 372(2020):42.