ON THE REGULARITY CRITERIA OF THE 3D NAVIER-STOKES EQUATIONS IN CRITICAL SPACES

doi:10.1016/S0252-9602(11)60259-2

数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (2): 591-600.doi: 10.1016/S0252-9602(11)60259-2

ON THE REGULARITY CRITERIA OF THE 3D NAVIER-STOKES EQUATIONS IN CRITICAL SPACES

董柏青|Sadek Gala|陈志敏

School of Mathematical Sciences, Anhui University, Hefei 230039, China； Department of Mathematics, University of Mostaganem, Mostaganem 27000, Algeria； School of Engineering Sciences, University of Southampton, Southampton SO17 1BJ, UK

收稿日期:2009-08-25 出版日期:2011-03-20 发布日期:2011-03-20
基金资助:
The work is partially supported by the NSF of China (10801001), NSF of Anhui Province (11040606M02) and is also financed by the 211 Project of Anhui University (KJTD002B, KJJQ005)

ON THE REGULARITY CRITERIA OF THE 3D NAVIER-STOKES EQUATIONS IN CRITICAL SPACES

DONG Bai-Qing, Sadek Gala, CHEN Zhi-Min

School of Mathematical Sciences, Anhui University, Hefei 230039, China； Department of Mathematics, University of Mostaganem, Mostaganem 27000, Algeria； School of Engineering Sciences, University of Southampton, Southampton SO17 1BJ, UK

Received:2009-08-25 Online:2011-03-20 Published:2011-03-20
Supported by:
The work is partially supported by the NSF of China (10801001), NSF of Anhui Province (11040606M02) and is also financed by the 211 Project of Anhui University (KJTD002B, KJJQ005)

摘要/Abstract

摘要：

Regularity criteria of Leray-Hopf weak solutions to the three-dimensional Navier-Stokes equations in some critical spaces such as Lorentz space, Morrey space and multiplier space are derived in terms of two partial derivatives, ∂₁u₁, ∂₂u₂, of velocity fields.

关键词: Regularity criteria, Navier-Stokes equations

Abstract:

Key words: Regularity criteria, Navier-Stokes equations

中图分类号:

35Q30

董柏青, Sadek Gala, 陈志敏. ON THE REGULARITY CRITERIA OF THE 3D NAVIER-STOKES EQUATIONS IN CRITICAL SPACES[J]. 数学物理学报(英文版), 2011, 31(2): 591-600.

DONG Bai-Qing, Sadek Gala, CHEN Zhi-Min . ON THE REGULARITY CRITERIA OF THE 3D NAVIER-STOKES EQUATIONS IN CRITICAL SPACES[J]. Acta mathematica scientia,Series B, 2011, 31(2): 591-600.

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ON THE REGULARITY CRITERIA OF THE 3D NAVIER-STOKES EQUATIONS IN CRITICAL SPACES

ON THE REGULARITY CRITERIA OF THE 3D NAVIER-STOKES EQUATIONS IN CRITICAL SPACES

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