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Existence and ergodicity for the two-dimensional stochastic magneto-hydrodynamics equations. (English) Zbl 1187.76727
Summary: The paper proves the existence of solutions to the magneto-hydrodynamics equations driven by random exterior forcing terms both in the velocity and in the magnetic field. The existence and uniqueness of an invariant measure is also obtained via coupling methods.

76M35 Stochastic analysis applied to problems in fluid mechanics
76W05 Magnetohydrodynamics and electrohydrodynamics
35R60 PDEs with randomness, stochastic partial differential equations
35Q35 PDEs in connection with fluid mechanics
37A25 Ergodicity, mixing, rates of mixing
60H15 Stochastic partial differential equations (aspects of stochastic analysis)
76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids
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