Yamazaki, Kazuo2023-06-202023-06-202016-03-16Yamazaki, K. (2016). Ergodicity of the two-dimensional magnetic Benard problem. <i>Electronic Journal of Differential Equations, 2016</i>(79), pp. 1-24.1072-6691https://hdl.handle.net/10877/16951We study the two-dimensional magnetic Benard 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 invariant, and consequently ergodic, measure under random perturbation.Text24 pages1 file (.pdf)enAttribution 4.0 InternationalBenard problemErgodicityInvariant measureIrreducibilityKrylov-Bogoliubov theoremStrong FellerArticle