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

• 论文 • 上一篇    下一篇

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

董柏青|Sadek Gala|陈志敏   

  1. 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   

  1. 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:

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:

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.

Key words: Regularity criteria, Navier-Stokes equations

中图分类号: 

  • 35Q30