Ergodicity of the two-dimensional magnetic benard problem

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Abstract

We study the two-dimensional magnetic Bénard problem with noise, white in time. We prove the well-posedness including the path-wise uniqueness of the generalized solution, and the existence of the unique invari-ant, and consequently ergodic, measure under random perturbation.

Original languageEnglish
Article number79
JournalElectronic Journal of Differential Equations
Volume2016
StatePublished - Mar 16 2016

Keywords

  • Bénard problem
  • Ergodicity
  • Invariant measure
  • Irreducibility
  • Krylov-Bogoliubov theorem
  • Strong Feller

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