Stochastic homogenization for two dimensional Navier--Stokes equations with random coefficients

This paper derives the stochastic homogenization for two dimensional Navier–Stokes equations with random coefficients. By means of weak convergence method and Stratonovich–Khasminskii averaging principle approach, the solution of two dimensional Navier–Stokes equations with random coefficients converges in distribution to the solution of two dimensional Navier–Stokes equations with constant coefficients.