Existence and Ergodicity for the Two-Dimensional Stochastic Magneto-Hydrodynamics Equations |
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| Authors: | Viorel Barbu Giuseppe Da Prato |
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| Affiliation: | (1) University Al. I. Cuza, 700506 Iasi, Romania;(2) Scuola Normale Superiore, 56126 Pisa, Italy |
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| Abstract: | 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. |
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