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 language | English |
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Article number | 79 |
Journal | Electronic Journal of Differential Equations |
Volume | 2016 |
State | Published - Mar 16 2016 |
Keywords
- Bénard problem
- Ergodicity
- Invariant measure
- Irreducibility
- Krylov-Bogoliubov theorem
- Strong Feller