Global well-posedness of 3-D inhomogeneous Navier-Stokes system with ill-prepared initial data

doi:10.4171/RMI/988

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	Global well-posedness of 3-D inhomogeneous Navier-Stokes system with ill-prepared initial data
	Zhang, Ping1,2 ; Zhang, Zhifei 3
	2018
发表期刊	REVISTA MATEMATICA IBEROAMERICANA
ISSN	0213-2230
卷号	34 期号:1 页码:355-395
摘要	In this paper, we investigate the global well-posedness of 3-D incompressible inhomogeneous Navier-Stokes system with ill-prepared initial data of the form (1 + epsilon(beta) alpha(0)(x(h), epsilon x(3)), (epsilon(1-alpha) nu(h)(0), epsilon(-alpha) nu(3)(0))(x(h), epsilon x(3)) for any alpha is an element of]0, 1/3[, ss > 2 alpha, and epsilon being sufficiently small. This result improves the global well- posedness result for so-called well-prepared initial data, which corresponds to the case of alpha = 0.
关键词	Inhomogeneous Navier-Stokes system well-posedness
DOI	10.4171/RMI/988
语种	英语
资助项目	NSF of China[11371347] ; NSF of China[11371039] ; NSF of China[11425103] ; Chinese Academy of Sciences ; National Center for Mathematics and Interdisciplinary Sciences
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000425898000009
出版者	EUROPEAN MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29701
专题	数学所
通讯作者	Zhang, Ping
作者单位	1.Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Ping,Zhang, Zhifei. Global well-posedness of 3-D inhomogeneous Navier-Stokes system with ill-prepared initial data[J]. REVISTA MATEMATICA IBEROAMERICANA,2018,34(1):355-395.
APA	Zhang, Ping,&Zhang, Zhifei.(2018).Global well-posedness of 3-D inhomogeneous Navier-Stokes system with ill-prepared initial data.REVISTA MATEMATICA IBEROAMERICANA,34(1),355-395.
MLA	Zhang, Ping,et al."Global well-posedness of 3-D inhomogeneous Navier-Stokes system with ill-prepared initial data".REVISTA MATEMATICA IBEROAMERICANA 34.1(2018):355-395.