Global Well-Posedness of 3-D Anisotropic Navier-Stokes System with Small Unidirectional Derivative
文献类型：期刊论文
| 作者 | Liu, Yanlin1,4; Paicu, Marius3; Zhang, Ping1,2,4 |
| 刊名 | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
 |
| 出版日期 | 2020-07-13 |
| 页码 | 39 |
| ISSN号 | 0003-9527 |
| DOI | 10.1007/s00205-020-01555-x |
| 英文摘要 | In Liu and Zhang (Arch Ration Mech Anal 235:1405-1444, 2020), the authors proved that as long as the one-directional derivative of the initial velocity is sufficiently small in some scaling invariant spaces, then the classical Navier-Stokes system has a global unique solution. The goal of this paper is to extend this type of result to the 3-D anisotropic Navier-Stokes system (ANS) with only horizontal dissipation. More precisely, given initial data u(0) = (u(0)(h), u(0)(3)) is an element of B-0,B-1/2 (ANS) has a unique global solution provided that vertical bar D-h vertical bar(-1)partial derivative(3)u(0) is sufficiently small in the scaling invariant space B-0,B-1/2. |
| 资助项目 | Agence Nationale de la Recherche, Project IFSMACS ; NSF of China[11688101] ; NSF of China[11371347] ; MorningsideCenter of Mathematics of The Chinese Academy of Sciences and innovation grant from National Center for Mathematics and Interdisciplinary Sciences ; K. C. Wong Education Foundation |
| WOS研究方向 | Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:000548096100001 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51840]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, Yanlin |
| 作者单位 | 1.Chinese Acad Sci, Hua Loo Keng Ctr Math Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Univ Bordeaux, Inst Math Bordeaux, F-33405 Talence, France 4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Yanlin,Paicu, Marius,Zhang, Ping. Global Well-Posedness of 3-D Anisotropic Navier-Stokes System with Small Unidirectional Derivative[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2020:39. |
| APA | Liu, Yanlin,Paicu, Marius,&Zhang, Ping.(2020).Global Well-Posedness of 3-D Anisotropic Navier-Stokes System with Small Unidirectional Derivative.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,39. |
| MLA | Liu, Yanlin,et al."Global Well-Posedness of 3-D Anisotropic Navier-Stokes System with Small Unidirectional Derivative".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2020):39. |
入库方式： OAI收割
来源：数学与系统科学研究院
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