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Ergodic hypothesis for open fluid systems Feireisl, Eduard


We discuss the validity of the ergodic hypothesis (convergence of ergodic means) for solutions of the compressible Navier-Stokes systems with either non-homogeneous boundary conditions or driven by a stochastic forcing. In both cases we show convergence of the classical Krylov-Bolyubov method that gives rise to a statistical (stochastic) stationary solution of the problem.

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