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ON THE CRITICAL ONE COMPONENT REGULARITY FOR 3-D NAVIER-STOKES SYSTEM
Chemin, Jean-Yves1; Zhang, Ping2,3
2016
Source PublicationANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE
ISSN0012-9593
Volume49Issue:1Pages:131-167
AbstractGiven 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 ProjectMCM ; AMSS ; NSF of China[11371037] ; National Center for Mathematics and Interdisciplinary Sciences
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000373517600004
PublisherSOC MATHEMATIQUE FRANCE
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/22463
Collection数学所
Corresponding AuthorChemin, Jean-Yves; Zhang, Ping
Affiliation1.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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