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

Fingerprint Dive into the research topics of 'Ergodicity of the two-dimensional magnetic benard problem'. Together they form a unique fingerprint.

Cite this

@article{41b4a342754a4bb99a78ff3bb4275722,

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",

note = "Publisher Copyright: {\textcopyright} 2016 Texas State University.",

year = "2016",

month = mar,

day = "16",

language = "English",

volume = "2016",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

}

TY - JOUR

T1 - Ergodicity of the two-dimensional magnetic benard problem

AU - Yamazaki, Kazuo

PY - 2016/3/16

Y1 - 2016/3/16

N2 - 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.

AB - 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.

KW - Bénard problem

KW - Ergodicity

KW - Invariant measure

KW - Irreducibility

KW - Krylov-Bogoliubov theorem

KW - Strong Feller

UR - http://www.scopus.com/inward/record.url?scp=84961572734&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84961572734

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

Other files and links

Cite this