| On some large global solutions to 3-D density-dependent Navier-Stokes system with slow variable: Well-prepared data | |
Paicu, Marius1; Zhang, Ping2,3
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| 2015-07-01 | |
| Source Publication | ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE
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| ISSN | 0294-1449 |
| Volume | 32Issue:4Pages:813-832 |
| Abstract | In 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. |
| Keyword | Inhomogeneous Navier-Stokes equations Littlewood-Paley theory Wellposedness |
| DOI | 10.1016/j.anihpc.2014.03.006 |
| Language | 英语 |
| Funding Project | Chinese Academy of Sciences ; NSFC[11371037] ; innovation grant from National Center for Mathematics and Interdisciplinary Sciences |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000361499100005 |
| Publisher | GAUTHIER-VILLARS/EDITIONS ELSEVIER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/20813 |
| Collection | 数学所 |
| Corresponding Author | Zhang, Ping |
| Affiliation | 1.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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