关于Navier-Stokes流的算术均值(英文)

On Arithmetic Means for the Navier-Stokes Flows

证明了可以选出具有相同的外部条件的三维Navier-Stokes流{u(n)},使其算术均值uN=(u(1)+…+u(N))/N有极限并且此极限是Navier-Stokes流,从而部分地为统计流体动力学提供了数学的根据.

It is proved that a sequence {u(n)} of the 3D NavierStokes flows with the same external condition can be selected so that the arithmetic means N=(u(1)+...+u(N))/N has a limit which is a NavierStokes flow.This supplies partly a mathematical basis to the statistical fluid mechanics.