A Generalization On The Stationary Solutions Of A Type Of2-Dimensional Navier-Stokes Equations With Random Forcing

In this article, we discussed on the stationary solutions of a type of2D Stochastic Navier-Stokes Equations and gave a generalization fo Mattingly’s papler on this equa-tion. We released the Mattingly’s condition on the viscous by separating the equation into two parts. The first part is gained by projecting the equation into L2subspace along the engenvectors of the Stokes operator. And we proved the existence and uniqueness of the stationary solution for this part, which is the main body of this article. The other part is a finite dimensional equation, but the difficult one. We have not found a suitable idea yet, so We’ll leave it for further research.