| ON THE CRITICAL ONE COMPONENT REGULARITY FOR 3-D NAVIER-STOKES SYSTEM | |
Chemin, Jean-Yves1; Zhang, Ping2,3
| |
| 2016 | |
| Source Publication | ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE
 |
| ISSN | 0012-9593 |
| Volume | 49Issue:1Pages:131-167 |
| Abstract | Given an initial data v(0) with vorticity Omega(0) = del x v(0) in L-3/2 (which implies that v(0) belongs to the Sobolev space H-1/2), we prove that the solution v given by the classical Fujita-Kato theorem blows up in a finite time T* only if, for any p in ]4, 6[ and any unit vector e in R-3, there holds integral(T)(0)* parallel to v(t).e parallel to(p)(H1/2+2/p) dt = infinity. We remark that all these quantities are scaling invariant under the scaling transformation of Navier-Stokes system. |
| Language | 英语 |
| Funding Project | MCM ; AMSS ; NSF of China[11371037] ; National Center for Mathematics and Interdisciplinary Sciences |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics |
| WOS ID | WOS:000373517600004 |
| Publisher | SOC MATHEMATIQUE FRANCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/22463 |
| Collection | 数学所 |
| Corresponding Author | Chemin, Jean-Yves; Zhang, Ping |
| Affiliation | 1.Univ Paris 06, Lab JL Lions, CNRS, UMR 7598, Boite Courrier 187, F-75252 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 |
| Recommended Citation GB/T 7714 | Chemin, Jean-Yves,Zhang, Ping. ON THE CRITICAL ONE COMPONENT REGULARITY FOR 3-D NAVIER-STOKES SYSTEM[J]. ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE,2016,49(1):131-167. |
| APA | Chemin, Jean-Yves,&Zhang, Ping.(2016).ON THE CRITICAL ONE COMPONENT REGULARITY FOR 3-D NAVIER-STOKES SYSTEM.ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE,49(1),131-167. |
| MLA | Chemin, Jean-Yves,et al."ON THE CRITICAL ONE COMPONENT REGULARITY FOR 3-D NAVIER-STOKES SYSTEM".ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE 49.1(2016):131-167. |
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