Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction

doi:10.1007/s11425-018-9504-1

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	Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction
	Paicu, Marius 1; Zhang, Ping2,3,4
	2019-06-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	62 期号:6 页码:1175-1204
摘要	We consider three-dimensional incompressible Navier-Stokes equations (NS) with different viscous coefficients in the vertical and horizontal variables. In particular, when one of these viscous coefficients is large enough compared with the initial data, we prove the global well-posedness of this system. In fact, we obtain the existence of a global strong solution to (NS) when the initial data verifies an anisotropic smallness condition which takes into account the different roles of the horizontal and vertical viscosity.
关键词	anisotropic Navier-Stokes equations Littlewood-Paley theory well-posedness 35Q30 76D03
DOI	10.1007/s11425-018-9504-1
语种	英语
资助项目	Agence Nationale de la Recherche, Project IFS-MACS[ANR-15-CE40-0010] ; National Natural Science Foundation of China[11371347] ; National Natural Science Foundation of China[11688101] ; Morningside Center of Mathematics of the Chinese Academy of Sciences ; Innovation Grant from National Center for Mathematics and Interdisciplinary Sciences
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000468372200009
出版者	SCIENCE 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/34686
专题	数学所
通讯作者	Zhang, Ping
作者单位	1.Univ Bordeaux 1, Inst Math Bordeaux, F-33405 Talence, France 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 4.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. Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction[J]. SCIENCE CHINA-MATHEMATICS,2019,62(6):1175-1204.
APA	Paicu, Marius,&Zhang, Ping.(2019).Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction.SCIENCE CHINA-MATHEMATICS,62(6),1175-1204.
MLA	Paicu, Marius,et al."Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction".SCIENCE CHINA-MATHEMATICS 62.6(2019):1175-1204.