Ergodicity of the two-dimensional magnetic benard problem

Kazuo Yamazaki

Ergodicity of the two-dimensional magnetic benard problem

Kazuo Yamazaki

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

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.

Original language	English
Article number	79
Journal	Electronic Journal of Differential Equations
Volume	2016
State	Published - Mar 16 2016

Keywords

Bénard problem
Ergodicity
Invariant measure
Irreducibility
Krylov-Bogoliubov theorem
Strong Feller

Cite this

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title = "Ergodicity of the two-dimensional magnetic benard problem",

abstract = "We study the two-dimensional magnetic B{\'e}nard 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.",

keywords = "B{\'e}nard problem, Ergodicity, Invariant measure, Irreducibility, Krylov-Bogoliubov theorem, Strong Feller",

author = "Kazuo Yamazaki",

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T1 - Ergodicity of the two-dimensional magnetic benard problem

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KW - Bénard problem

KW - Ergodicity

KW - Invariant measure

KW - Irreducibility

KW - Krylov-Bogoliubov theorem

KW - Strong Feller

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VL - 2016

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

SN - 1072-6691

M1 - 79

ER -

Ergodicity of the two-dimensional magnetic benard problem

Abstract

Keywords

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