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Ergodicity of stochastic 2D Navier-Stokes equation with Lévy noise. (English) Zbl 1223.35309
The paper investigates regularity properties of a calss of two-dimensional stochastic Navier-Stokes equations driven by a non-degenerate Gauss noise and an independent Lévy noise. Under reasonable assumptions, the uniqueness, existence, the strong Feller property, and ergodicity of the solutions are proved.

MSC:
35R60 PDEs with randomness, stochastic partial differential equations
60H15 Stochastic partial differential equations (aspects of stochastic analysis)
35Q30 Navier-Stokes equations
37L55 Infinite-dimensional random dynamical systems; stochastic equations
76D06 Statistical solutions of Navier-Stokes and related equations
76M35 Stochastic analysis applied to problems in fluid mechanics
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