Abstract: Three dimensional initial boundary value problem of the Navier-Stokes equation is considered. The equation is split into an Euler equationand a non-stationary Stokes equation within each time step. Under the hypothesis that the original problem possesses a smooth solution, the L² norm of the errors of the pressure is obtained.

Key words: Navier-Stokes equations, viscosity splitting, pressure

摘要： 考虑Navier-Stokes方程的三维初边值问题。在每一个时间步方程分离为一个Euler方程和一个非定常的Stokes方程。在原问题具有一个光滑解的假设下，得到了压力的误差的L²模估计。

关键词: Navier-Stokes方程, 粘性分离, 压力