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

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

2009-06-23

arxiv.org/abs/0906.4281v2

Mathematics

Probability

29 pages

Scientific paper

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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