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.
|Journal||Electronic Journal of Differential Equations|
|State||Published - Mar 16 2016|
- Bénard problem
- Invariant measure
- Krylov-Bogoliubov theorem
- Strong Feller