Ergodicity of the 2D Navier-Stokes Equations with Degenerate Multiplicative Noise

2013/08/27 by Dong, Zhao, Peng, Xuhui
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1308.5769

Abstract

Consider the two-dimensional, incompressible Navier-Stokes equations on the torus We prove that the semigroup P_t generated by the solutions to stochastic Navier-stokes equations is asymptotically strong Feller. Moreover, we also prove that semigroup P_t is exponentially ergodic in some sense

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