Ergodicity of a Galerkin approximation of three-dimensional magnetohydrodynamics system forced by a degenerate noise

DOI10.1080/17442508.2018.1518984zbMath1493.35085arXiv1809.00721OpenAlexW2890446208MaRDI QIDQ5086419

Kazuo Yamazaki

Publication date: 5 July 2022

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.00721

zbMATH Keywords

ergodicityinvariant measurehypoellipticitymagnetohydrodynamics systemHörmander's conditionHarris' condition

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

Related Items (6)

Ergodicity of Galerkin approximations of surface quasi-geostrophic equations and Hall-magnetohydrodynamics system forced by degenerate noise ⋮ Stochastic magneto-hydrodynamic equations (MHD): invariant measures in 2D Poincaré domains ⋮ The stochastic tamed MHD equations: existence, uniqueness and invariant measures ⋮ Martingale solutions of the stochastic Hall-magnetohydrodynamics equations on \(\mathbb{R}^3\) ⋮ Limit stationary measures of the stochastic magnetohydrodynamic system in a 3D thin domain ⋮ Three-dimensional magnetohydrodynamics system forced by space-time white noise

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