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We prove that the any Markov solution to the 3D stochastic Navier-Stokesequations driven by a mildly degenerate noise (i.e.all but finitely manyFourier modes are forced) is uniquely ergodic. This follows by proving strongFeller regularity and irreducibility.

Ergodicity of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noise