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

作     者：董柏青 Sadek Gala 陈志敏 

作者机构：School of Mathematical Sciences Anhui University Department of Mathematics University of Mostaganem School of Engineering Sciences University of Southampton 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2011年第31卷第2期

页      面：591-600页

核心收录：

学科分类：080704[工学-流体机械及工程] 07[理学] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 070104[理学-应用数学] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the NSF of China (10801001) NSF of Anhui Province (11040606M02) the 211 Project of Anhui University (KJTD002B, KJJQ005) 

主　　题：Regularity criteria Navier-Stokes equations 

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.