Ergodicity of the two-dimensional magnetic Benard problem

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dc.contributor.authorYamazaki, Kazuo
dc.date.accessioned2023-06-20T16:38:52Z
dc.date.available2023-06-20T16:38:52Z
dc.date.issued2016-03-16
dc.description.abstractWe 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.departmentMathematics
dc.formatText
dc.format.extent24 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationYamazaki, K. (2016). Ergodicity of the two-dimensional magnetic Benard problem. <i>Electronic Journal of Differential Equations, 2016</i>(79), pp. 1-24.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16951
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2016, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectBenard problem
dc.subjectErgodicity
dc.subjectInvariant measure
dc.subjectIrreducibility
dc.subjectKrylov-Bogoliubov theorem
dc.subjectStrong Feller
dc.titleErgodicity of the two-dimensional magnetic Benard problem
dc.typeArticle

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