Invariant measure for 2D stochastic Cahn–Hilliard–Navier–Stokes equations.

In this paper, we investigate the stochastic Cahn–Hilliard–Navier–Stokes equations in two-dimensional spaces. Applying the Maslowski–Seidler method, we establish the existence of invariant measure in state space L x 2 × H 1 with the weak topology. We also prove the existence of global pathwise solutions using the stochastic compactness argument. [ABSTRACT FROM AUTHOR]