Global Well-Posedness of 3-D Anisotropic Navier-Stokes System with Small Unidirectional Derivative

doi:10.1007/s00205-020-01555-x

CSpace

	Global Well-Posedness of 3-D Anisotropic Navier-Stokes System with Small Unidirectional Derivative
	Liu, Yanlin 1,2; Paicu, Marius 3; Zhang, Ping 1,2,4
	2020-07-13
发表期刊	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN	0003-9527
页码	39
摘要	In Liu and Zhang (Arch Ration Mech Anal 235:1405-1444, 2020), the authors proved that as long as the one-directional derivative of the initial velocity is sufficiently small in some scaling invariant spaces, then the classical Navier-Stokes system has a global unique solution. The goal of this paper is to extend this type of result to the 3-D anisotropic Navier-Stokes system (ANS) with only horizontal dissipation. More precisely, given initial data u(0) = (u(0)(h), u(0)(3)) is an element of B-0,B-1/2 (ANS) has a unique global solution provided that vertical bar D-h vertical bar(-1)partial derivative(3)u(0) is sufficiently small in the scaling invariant space B-0,B-1/2.
DOI	10.1007/s00205-020-01555-x
收录类别	SCI
语种	英语
资助项目	Agence Nationale de la Recherche, Project IFSMACS ; NSF of China[11688101] ; NSF of China[11371347] ; MorningsideCenter of Mathematics of The Chinese Academy of Sciences and innovation grant from National Center for Mathematics and Interdisciplinary Sciences ; K. C. Wong Education Foundation
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; Mechanics
WOS记录号	WOS:000548096100001
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51841
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Yanlin
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Ctr Math Sci, Beijing 100190, Peoples R China 3.Univ Bordeaux, Inst Math Bordeaux, F-33405 Talence, France 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Liu, Yanlin,Paicu, Marius,Zhang, Ping. Global Well-Posedness of 3-D Anisotropic Navier-Stokes System with Small Unidirectional Derivative[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2020:39.
APA	Liu, Yanlin,Paicu, Marius,&Zhang, Ping.(2020).Global Well-Posedness of 3-D Anisotropic Navier-Stokes System with Small Unidirectional Derivative.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,39.
MLA	Liu, Yanlin,et al."Global Well-Posedness of 3-D Anisotropic Navier-Stokes System with Small Unidirectional Derivative".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2020):39.