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Existence and Ergodicity for the Two-Dimensional Stochastic Magneto-Hydrodynamics Equations

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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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Authors and Affiliations

  1. University Al. I. Cuza, 700506 Iasi, Romania

    Viorel Barbu

  2. Scuola Normale Superiore, 56126 Pisa, Italy

    Giuseppe Da Prato

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  1. Viorel Barbu
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  2. Giuseppe Da Prato
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Correspondence to Viorel Barbu or Giuseppe Da Prato.

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Barbu, V., Da Prato, G. Existence and Ergodicity for the Two-Dimensional Stochastic Magneto-Hydrodynamics Equations. Appl Math Optim 56, 145–168 (2007). https://doi.org/10.1007/s00245-007-0882-2

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  • DOI: https://doi.org/10.1007/s00245-007-0882-2

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