论文标题
Navier-Stokes方程的一个速度组件，本地规则标准
Local regularity criteria in terms of one velocity component for the Navier-Stokes equations
论文作者
论文摘要
本文致力于在三个维度的Navier-Stokes方程中呈现一个较弱的解决方案的速度组件来呈现新的内部规则标准。结果表明，如果与速度字段相关的某些数量的缩放$ l^p_tl^q_x $ norm，则速度是常规的，与速度场相关的某些数量是有限的，并且一个缩放的$ l^p_tl^q_x $ - 一个速度组件的一个速度组件足够小的小附近。
This paper is devoted to presenting new interior regularity criteria in terms of one velocity component for weak solutions to the Navier-Stokes equations in three dimensions. It is shown that the velocity is regular near a point $z$ if its scaled $L^p_tL^q_x$-norm of some quantities related to the velocity field is finite and the scaled $L^p_tL^q_x$-norm of one velocity component is sufficiently small near $z$.
