| On the Critical One Component Regularity for 3-D Navier-Stokes System: General Case | |
Chemin, Jean-Yves1; Zhang, Ping2,3,4 ; Zhang, Zhifei5
| |
| 2017-06-01 | |
| Source Publication | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
 |
| ISSN | 0003-9527 |
| Volume | 224Issue:3Pages:871-905 |
| Abstract | Let us consider initial data v(0) for the homogeneous incompressible 3D Navier-Stokes equation with vorticity belonging to L-3/2 boolean AND L-2. We prove that if the solution associated with v(0) blows up at a finite time T*, then for any p in ]4, infinity[, and any unit vector e of R-3, the L (p) norm in time with value in H (1/2) (+) (2/p) of (v|e) (3)(R) blows up at T*. |
| DOI | 10.1007/s00205-017-1089-0 |
| Language | 英语 |
| Funding Project | MCM ; National Center for Mathematics and Interdisciplinary Sciences ; NSF of China[11371347] ; NSF of China[11371037] ; NSF of China[11425103] ; Chinese Academy of Sciences ; Program for New Century Excellent Talents in University ; Fok Ying Tung Education Foundation |
| WOS Research Area | Mathematics ; Mechanics |
| WOS Subject | Mathematics, Applied ; Mechanics |
| WOS ID | WOS:000396793500002 |
| Publisher | SPRINGER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/25152 |
| Collection | 数学所 |
| Corresponding Author | Chemin, Jean-Yves |
| Affiliation | 1.Univ Paris 06, Lab JL Lions, UMR 7598, F-75230 Paris 05, France 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 5.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China |
| Recommended Citation GB/T 7714 | Chemin, Jean-Yves,Zhang, Ping,Zhang, Zhifei. On the Critical One Component Regularity for 3-D Navier-Stokes System: General Case[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2017,224(3):871-905. |
| APA | Chemin, Jean-Yves,Zhang, Ping,&Zhang, Zhifei.(2017).On the Critical One Component Regularity for 3-D Navier-Stokes System: General Case.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,224(3),871-905. |
| MLA | Chemin, Jean-Yves,et al."On the Critical One Component Regularity for 3-D Navier-Stokes System: General Case".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 224.3(2017):871-905. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment