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Exponential mixing of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noises

Sergio Albeverio·Arnaud Debussche·Lihu Xu
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Abstract

We prove the strong Feller property and exponential mixing for 3D stochastic Navier-Stokes equation driven by mildly degenerate noises (i.e. all but finitely many Fourier modes are forced) via Kolmogorov equation approach.

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Sergio Albeverio, Arnaud Debussche, Lihu Xu. 2010-01-30. Exponential mixing of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noises. https://arxiv.org/abs/0910.0614

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