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 | |
发表期刊 | ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE |
ISSN | 0294-1449 |
卷号 | 32期号:4页码:813-832 |
摘要 | 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. |
关键词 | Inhomogeneous Navier-Stokes equations Littlewood-Paley theory Wellposedness |
DOI | 10.1016/j.anihpc.2014.03.006 |
语种 | 英语 |
资助项目 | Chinese Academy of Sciences ; NSFC[11371037] ; innovation grant from National Center for Mathematics and Interdisciplinary Sciences |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000361499100005 |
出版者 | GAUTHIER-VILLARS/EDITIONS ELSEVIER |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/20813 |
专题 | 数学所 |
通讯作者 | Zhang, Ping |
作者单位 | 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 |
推荐引用方式 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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