Ergodicity of the 3d Stochastic Navier-stokes Equations Driven by Mildly Degenerate Noise
نویسنده
چکیده
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.
منابع مشابه
Ergodicity of the 3d Stochastic Navier-stokes Equations Driven by Mildly Degenerate Noises:galerkin Approximation Approach
We prove the strong Feller property and ergodicity for 3D stochastic Navier-Stokes equation driven by mildly degenerate noises (i.e. all but finitely many Fourier modes are forced) via Galerkin approximation approach.
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