Ergodicity of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noise
arXiv:0906.4281
Abstract
We prove that the any Markov solution to the 3D stochastic Navier-Stokes equations driven by a mildly degenerate noise (i.e.all but finitely many Fourier modes are forced) is uniquely ergodic. This follows by proving strong Feller regularity and irreducibility.
29 pages
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