Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient
文献类型：期刊论文
| 作者 | Liu, Yanlin1; Zhang, Ping2,3,4
|
| 刊名 | JOURNAL OF FUNCTIONAL ANALYSIS
 |
| 出版日期 | 2020-12-01 |
| 卷号 | 279期号:10页码:33 |
| 关键词 | Navier-Stokes system Anisotropic Littlewood-Paley theory Well-posedness |
| ISSN号 | 0022-1236 |
| DOI | 10.1016/j.jfa.2020.108736 |
| 英文摘要 | In this paper, we first prove the global well-posedness of 3-D anisotropic Navier-Stokes system provided that the vertical viscous coefficient of the system is sufficiently large compared to some critical norm of the initial data. Then we shall construct a family of initial data, u(0,nu) which vary fast enough in the vertical variable and which can be arbitrarily large in the space BMO-1. Yet u(0,nu) still generates a unique global solution to the classical 3-D Navier-Stokes system provided that nu is sufficiently large. (C) 2020 Elsevier Inc. All rights reserved. |
| 资助项目 | NSF of China[11371347] ; NSF of China[11688101] ; Morningside Center of Mathematics of The Chinese Academy of Sciences ; National Center for Mathematics and Interdisciplinary Sciences |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000564303300008 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52093]  |
| 专题 | 数学所 |
| 通讯作者 | Zhang, Ping |
| 作者单位 | 1.Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China 2.Chinese Acad Sci, Hua Loo Keng Ctr Math Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Yanlin,Zhang, Ping. Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2020,279(10):33. |
| APA | Liu, Yanlin,&Zhang, Ping.(2020).Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient.JOURNAL OF FUNCTIONAL ANALYSIS,279(10),33. |
| MLA | Liu, Yanlin,et al."Global well-posedness of 3-D anisotropic Navier-Stokes system with large vertical viscous coefficient".JOURNAL OF FUNCTIONAL ANALYSIS 279.10(2020):33. |
入库方式： OAI收割
来源：数学与系统科学研究院
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