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Ergodic results for stochastic Navier-Stokes equation. (English) Zbl 0882.60059
It is considered a 2-D Navier-Stokes equation perturbed by a white noise force. It is stated and proved the existence and uniqueness of the solution allowing one to get the uniqueness of the invariant measure in a simpler way based on irreducibility and strong Feller property of the corresponding Markov semigroup. The estimations and proofs are given in detail.

MSC:
60H15 Stochastic partial differential equations (aspects of stochastic analysis)
35R60 PDEs with randomness, stochastic partial differential equations
76D05 Navier-Stokes equations for incompressible viscous fluids
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