On the Decay and Stability of Global Solutions to the 3D Inhomogeneous Navier-Stokes Equations
文献类型：期刊论文
| 作者 | Abidi, Hammadi1; Gui, Guilong2; Zhang, Ping3,4
|
| 刊名 | COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
 |
| 出版日期 | 2011-06-01 |
| 卷号 | 64期号:6页码:832-881 |
| ISSN号 | 0010-3640 |
| 英文摘要 | In this paper, we investigate the large-time decay and stability to any given global smooth solutions of the 3D incompressible inhomogeneous Navier-Stokes equations. In particular, we prove that given any global smooth solution (a, u) of (1.2), the velocity field u decays to 0 with an explicit rate, which coincides with the L(2) norm decay for the weak solutions of the 3D classical Navier-Stokes system [a, u] as t goes to infinity. Moreover, a small perturbation to the initial data of (a, u) still generates a unique global smooth solution to (1.2), and this solution keeps close to the reference solution (a, u) for t > 0. We should point out that the main results in this paper work for large solutions of (1.2). (C) 2010 Wiley Periodicals, Inc. |
| 资助项目 | NSF of China[10421101] ; NSF of China[10931007] ; NSF of China[11001111] ; 973 Program[2006CB805902] ; Chinese Academy of Sciences[GJHZ2-00829] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000288178500003 |
| 出版者 | WILEY-BLACKWELL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12827]  |
| 专题 | 数学所 |
| 通讯作者 | Abidi, Hammadi |
| 作者单位 | 1.Fac Sci Tunis, Dept Math, Tunis 2092, Tunisia 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Abidi, Hammadi,Gui, Guilong,Zhang, Ping. On the Decay and Stability of Global Solutions to the 3D Inhomogeneous Navier-Stokes Equations[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,2011,64(6):832-881. |
| APA | Abidi, Hammadi,Gui, Guilong,&Zhang, Ping.(2011).On the Decay and Stability of Global Solutions to the 3D Inhomogeneous Navier-Stokes Equations.COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS,64(6),832-881. |
| MLA | Abidi, Hammadi,et al."On the Decay and Stability of Global Solutions to the 3D Inhomogeneous Navier-Stokes Equations".COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS 64.6(2011):832-881. |
入库方式： OAI收割
来源：数学与系统科学研究院
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