Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction
文献类型：期刊论文
| 作者 | Paicu, Marius2; Zhang, Ping1,3,4
|
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2019-06-01 |
| 卷号 | 62期号:6页码:1175-1204 |
| 关键词 | anisotropic Navier-Stokes equations Littlewood-Paley theory well-posedness 35Q30 76D03 |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-018-9504-1 |
| 英文摘要 | We consider three-dimensional incompressible Navier-Stokes equations (NS) with different viscous coefficients in the vertical and horizontal variables. In particular, when one of these viscous coefficients is large enough compared with the initial data, we prove the global well-posedness of this system. In fact, we obtain the existence of a global strong solution to (NS) when the initial data verifies an anisotropic smallness condition which takes into account the different roles of the horizontal and vertical viscosity. |
| 资助项目 | Agence Nationale de la Recherche, Project IFS-MACS[ANR-15-CE40-0010] ; National Natural Science Foundation of China[11371347] ; National Natural Science Foundation of China[11688101] ; Morningside Center of Mathematics of the Chinese Academy of Sciences ; Innovation Grant from National Center for Mathematics and Interdisciplinary Sciences |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000468372200009 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/34685]  |
| 专题 | 数学所 |
| 通讯作者 | Zhang, Ping |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Univ Bordeaux 1, Inst Math Bordeaux, F-33405 Talence, France 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 | Paicu, Marius,Zhang, Ping. Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction[J]. SCIENCE CHINA-MATHEMATICS,2019,62(6):1175-1204. |
| APA | Paicu, Marius,&Zhang, Ping.(2019).Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction.SCIENCE CHINA-MATHEMATICS,62(6),1175-1204. |
| MLA | Paicu, Marius,et al."Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction".SCIENCE CHINA-MATHEMATICS 62.6(2019):1175-1204. |
入库方式： OAI收割
来源：数学与系统科学研究院
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