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On some large global solutions to 3-D density-dependent Navier-Stokes system with slow variable: Well-prepared data
Paicu, Marius1; Zhang, Ping2,3
2015-07-01
Source PublicationANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
ISSN0294-1449
Volume32Issue:4Pages:813-832
AbstractIn this paper, we consider the global wellposedness of 3-D incompressible inhomogeneous Navier-Stokes equations with initial data slowly varying in the vertical variable, that is, initial data of the form (1 + epsilon(sigma)a(0)(x(h), epsilon x(3)), (epsilon u(0)(h)(x(h), epsilon x(3)), u(0)(3)(xh, epsilon x(3)))) for some sigma > 0 and epsilon being sufficiently small. We remark that initial data of this type does not satisfy the smallness conditions in [11,18] no matter how small epsilon is. (C) 2014 Elsevier Masson SAS. All rights reserved.
KeywordInhomogeneous Navier-Stokes equations Littlewood-Paley theory Wellposedness
DOI10.1016/j.anihpc.2014.03.006
Language英语
Funding ProjectChinese Academy of Sciences ; NSFC[11371037] ; innovation grant from National Center for Mathematics and Interdisciplinary Sciences
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000361499100005
PublisherGAUTHIER-VILLARS/EDITIONS ELSEVIER
Citation statistics
Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/20813
Collection数学所
Affiliation1.Univ Bordeaux 1, Inst Mathemat 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
Recommended Citation
GB/T 7714
Paicu, Marius,Zhang, Ping. On some large global solutions to 3-D density-dependent Navier-Stokes system with slow variable: Well-prepared data[J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,2015,32(4):813-832.
APA Paicu, Marius,&Zhang, Ping.(2015).On some large global solutions to 3-D density-dependent Navier-Stokes system with slow variable: Well-prepared data.ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,32(4),813-832.
MLA Paicu, Marius,et al."On some large global solutions to 3-D density-dependent Navier-Stokes system with slow variable: Well-prepared data".ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE 32.4(2015):813-832.
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