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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.

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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