Invariant measure for 2D stochastic Cahn-Hilliard-Navier-Stokes equations
arXiv:2008.09221 · doi:10.1007/s00033-020-01312-w
Abstract
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 , working with the weak topology. Also, the existence of global pathwise solution is investigated using the stochastic compactness argument.