Ergodicity of the two-dimensional magnetic Benard problem
dc.contributor.author | Yamazaki, Kazuo | |
dc.date.accessioned | 2023-06-20T16:38:52Z | |
dc.date.available | 2023-06-20T16:38:52Z | |
dc.date.issued | 2016-03-16 | |
dc.description.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. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 24 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Yamazaki, K. (2016). Ergodicity of the two-dimensional magnetic Benard problem. Electronic Journal of Differential Equations, 2016(79), pp. 1-24. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/16951 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2016, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Benard problem | |
dc.subject | Ergodicity | |
dc.subject | Invariant measure | |
dc.subject | Irreducibility | |
dc.subject | Krylov-Bogoliubov theorem | |
dc.subject | Strong Feller | |
dc.title | Ergodicity of the two-dimensional magnetic Benard problem | |
dc.type | Article |