Regularity criterion of weak solutions to the 3D Navier–Stokes equations via two velocity components
Regularity criterion of weak solutions to the 3D Navier–Stokes equations via two velocity components
复制标题
DOI：
10.1016/j.jmaa.2007.05.003
复制
发表时间：
2008-02
影响因子：
1.3
通讯作者：
Bo-Qing Dong;Zhimin Chen
中科院分区：
文献类型：
--
作者：
Bo-Qing Dong;Zhimin Chen
研究了三维Navier-Stokes方程在两个速度场分量上的Serrin型条件下Leray-Hopf弱解的正则性准则。证明了弱解u=（u1，u2，u3）在（0，T]上是正则的，如果存在两个解分量，例如u2和u3，满足条件
This paper is concerned with the regularity criterion of Leray–Hopf weak solutions to the 3D Navier–Stokes equations with respect to Serrin type condition on two velocity filed components. It is shown that the weak solution u=(u1,u2,u3) is regular on (0,T] if there exist two solution components, for example, u2and u3, satisfying the condition