Large global solutions to 3-D inhomogeneous Navier-Stokes equations slowly varying in one variable
文献类型：期刊论文
| 作者 | Gui, Guilong3; Huang, Jingchi1; Zhang, Ping1,2
|
| 刊名 | JOURNAL OF FUNCTIONAL ANALYSIS
 |
| 出版日期 | 2011-12-01 |
| 卷号 | 261期号:11页码:3181-3210 |
| 关键词 | Inhomogeneous Navier-Stokes systems Anisotropic Littlewood-Paley theory Large solutions |
| ISSN号 | 0022-1236 |
| DOI | 10.1016/j.jfa.2011.07.026 |
| 英文摘要 | Motivated by Chemin and Gallagher (2010) [8], we consider the global wellposedness to the 3-D incompressible inhomogeneous Navier Stokes equations with large initial velocity slowly varying in one space variable. In particular, we proved that when the initial. density is close enough to a positive constant, then given divergence free initial velocity field of the type (v(0)(h) + is an element of w(0)(h) , w(0)(3))(x(h), is an element of x(3)), as that in Chemin and Gallagher (2010) [8] for the classical Navier Stokes system, we shall prove the global wellposedness of (INS) for E sufficiently small. The main difficulty here lies in the fact that we will have to obtain the L-1 (R+; Lip(R-3)) estimate for convection velocity in the transport equation of (INS). Toward this and due to the strong anisotropic properties of the approximate solutions, we will have to work in the framework of anisotropic type Besov spaces here. (C) 2011 Elsevier Inc. All rights reserved. |
| 资助项目 | NSF of China[11001111] ; NSF of China[10421101] ; NSF of China[10931007] ; Jiangsu University[10JDG141] ; Jiangsu University[10JDG157] ; Chinese Academy of Sciences[GJHZ200829] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000295439100003 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12322]  |
| 专题 | 数学所 |
| 通讯作者 | Zhang, Ping |
| 作者单位 | 1.Chinese Acad Sci, 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.Jiangsu Univ, Dept Math, Zhenjiang 212013, Peoples R China |
| 推荐引用方式 GB/T 7714 | Gui, Guilong,Huang, Jingchi,Zhang, Ping. Large global solutions to 3-D inhomogeneous Navier-Stokes equations slowly varying in one variable[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2011,261(11):3181-3210. |
| APA | Gui, Guilong,Huang, Jingchi,&Zhang, Ping.(2011).Large global solutions to 3-D inhomogeneous Navier-Stokes equations slowly varying in one variable.JOURNAL OF FUNCTIONAL ANALYSIS,261(11),3181-3210. |
| MLA | Gui, Guilong,et al."Large global solutions to 3-D inhomogeneous Navier-Stokes equations slowly varying in one variable".JOURNAL OF FUNCTIONAL ANALYSIS 261.11(2011):3181-3210. |
入库方式： OAI收割
来源：数学与系统科学研究院
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