Ergodicity of the 3d Stochastic Navier-stokes Equations Driven by Mildly Degenerate Noises:galerkin Approximation Approach
نویسنده
چکیده
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.
منابع مشابه
Ergodicity of the 3d Stochastic Navier-stokes Equations Driven by Mildly Degenerate Noise
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.
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