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Ergodicity of the 2D Navier-Stokes equations with random forcing. (English) Zbl 0994.60066
Authors’ abstract: We consider the Navier-Stokes equation on a two-dimensional torus with a random force, acting at discrete times and analytic in space, for arbitrarily small viscosity coefficient. We prove the existence and uniqueness of the invariant measure for this system as well as exponential mixing in time.

##### MSC:
 60H15 Stochastic partial differential equations (aspects of stochastic analysis) 35Q30 Navier-Stokes equations
##### Keywords:
Navier-Stokes equation; invariant measure; random forcing
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