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Global well-posedness of 3-D inhomogeneous Navier-Stokes system with ill-prepared initial data
Zhang, Ping1,2; Zhang, Zhifei3
2018
Source PublicationREVISTA MATEMATICA IBEROAMERICANA
ISSN0213-2230
Volume34Issue:1Pages:355-395
AbstractIn 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.
KeywordInhomogeneous Navier-Stokes system well-posedness
DOI10.4171/RMI/988
Language英语
Funding ProjectNSF of China[11371347] ; NSF of China[11371039] ; NSF of China[11425103] ; Chinese Academy of Sciences ; National Center for Mathematics and Interdisciplinary Sciences
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000425898000009
PublisherEUROPEAN MATHEMATICAL SOC
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29701
Collection数学所
Affiliation1.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
Recommended Citation
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.
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