| On the Decay and Stability of Global Solutions to the 3D Inhomogeneous Navier-Stokes Equations | |
Abidi, Hammadi1; Gui, Guilong2; Zhang, Ping3,4
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| 2011-06-01 | |
| Source Publication | COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
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| ISSN | 0010-3640 |
| Volume | 64Issue:6Pages:832-881 |
| Abstract | 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. |
| Language | 英语 |
| Funding Project | NSF of China[10421101] ; NSF of China[10931007] ; NSF of China[11001111] ; 973 Program[2006CB805902] ; Chinese Academy of Sciences[GJHZ2-00829] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000288178500003 |
| Publisher | WILEY-BLACKWELL |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/12828 |
| Collection | 数学所 |
| Corresponding Author | Abidi, Hammadi |
| Affiliation | 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 |
| Recommended Citation 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. |
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