ON THE CRITICAL ONE COMPONENT REGULARITY FOR 3-D NAVIER-STOKES SYSTEM
文献类型：期刊论文
| 作者 | Chemin, Jean-Yves1; Zhang, Ping2,3
|
| 刊名 | ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE
 |
| 出版日期 | 2016 |
| 卷号 | 49期号:1页码:131-167 |
| ISSN号 | 0012-9593 |
| 英文摘要 | 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. |
| 资助项目 | MCM ; AMSS ; NSF of China[11371037] ; National Center for Mathematics and Interdisciplinary Sciences |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000373517600004 |
| 出版者 | SOC MATHEMATIQUE FRANCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22462]  |
| 专题 | 数学所 |
| 通讯作者 | Chemin, Jean-Yves; Zhang, Ping |
| 作者单位 | 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 |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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