Exponential mixing of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noises

preprint2010arXivOpen access

Abstract

We prove the strong Feller property and exponential mixing for 3D stochastic Navier-Stokes equation driven by mildly degenerate noises (i.e. all but finitely many Fourier modes are forced) via Kolmogorov equation approach.

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