  Using the Maslowski and Seidler method, the existence of invariant measure
for 2-dimensional stochastic Cahn-Hilliard-Navier-Stokes equations with
multiplicative noise is proved in state space $L_x^2\times H^1$, working with
the weak topology. Also, the existence of global pathwise solution is
investigated using the stochastic compactness argument.
