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Invariant measure for 2D stochastic Cahn-Hilliard-Navier-Stokes equations

Published 20 Aug 2020 in math.AP and math.PR | (2008.09221v1)

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 $L_x2\times H1$, working with the weak topology. Also, the existence of global pathwise solution is investigated using the stochastic compactness argument.

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