Ergodicity of the two-dimensional magnetic Benard problem
Date
2016-03-16
Authors
Yamazaki, Kazuo
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We 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.
Description
Keywords
Benard problem, Ergodicity, Invariant measure, Irreducibility, Krylov-Bogoliubov theorem, Strong Feller
Citation
Yamazaki, K. (2016). Ergodicity of the two-dimensional magnetic Benard problem. <i>Electronic Journal of Differential Equations, 2016</i>(79), pp. 1-24.
Rights
Attribution 4.0 International