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

作　　者：董柏青 Sadek Gala 陈志敏 

机构地区：[1]School of Mathematical Sciences, Anhui University [2]Department of Mathematics, University of Mostaganem [3]School of Engineering Sciences, University of Southampton

出　　处：《Acta Mathematica Scientia》2011年第2期591-600,共10页数学物理学报（B辑英文版）

基　　金：supported by the NSF of China (10801001);NSF of Anhui Province (11040606M02) ;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, θ1u1, θ2u2, of velocity fields.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, θ1u1, θ2u2, of velocity fields.

关 键 词：Regularity criteria Navier-Stokes equations 

分 类 号：O175[理学—数学] O357.1[理学—基础数学]