On the global wellposedness to the 3-D incompressible anisotropic Navier- Stokes equations
文献类型：期刊论文
| 作者 | Chemin, Jean-Yves; Zhang, Ping
|
| 刊名 | COMMUNICATIONS IN MATHEMATICAL PHYSICS
 |
| 出版日期 | 2007-06-01 |
| 卷号 | 272期号:2页码:529-566 |
| ISSN号 | 0010-3616 |
| DOI | 10.1007/s00220-007-0236-0 |
| 英文摘要 | Corresponding to the wellposedness result [2] for the classical 3-D Navier-Stokes equations (NSv) with initial data in the scaling invariant Besov space, beta(-1+ 3/p)(p,infinity) , here we consider a similar problem for the 3-D anisotropic Navier-Stokes equations (ANS(v)), where the vertical viscosity is zero. In order to do so, we first introduce the Besov-Sobolev type spaces, beta(-1/2, 1/2)(4) and beta(-1/2, 1/2)(4) (T). Then with initial data in the scaling invariant space beta(-1/2, 1/2)(4), we prove the global wellposedness for (ANS(v)) provided the norm of initial data is small enough compared to the horizontal viscosity. In particular, this result implies the global wellposedness of (ANS(v)) with high oscillatory initial data (1.2). |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000247964500007 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4670]  |
| 专题 | 数学所 |
| 通讯作者 | Chemin, Jean-Yves |
| 作者单位 | 1.Univ Paris 06, Lab JL Lyons, F-75230 Paris 05, France 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chemin, Jean-Yves,Zhang, Ping. On the global wellposedness to the 3-D incompressible anisotropic Navier- Stokes equations[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS,2007,272(2):529-566. |
| APA | Chemin, Jean-Yves,&Zhang, Ping.(2007).On the global wellposedness to the 3-D incompressible anisotropic Navier- Stokes equations.COMMUNICATIONS IN MATHEMATICAL PHYSICS,272(2),529-566. |
| MLA | Chemin, Jean-Yves,et al."On the global wellposedness to the 3-D incompressible anisotropic Navier- Stokes equations".COMMUNICATIONS IN MATHEMATICAL PHYSICS 272.2(2007):529-566. |
入库方式： OAI收割
来源：数学与系统科学研究院
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