Asymptotic Analysis for Randomly Forced MHD

DOI10.1137/16M1071857zbMath1379.35324arXiv1604.06352OpenAlexW2963706897MaRDI QIDQ4594914

Juraj Földes, Geordie Richards, Nathan E. Glatt-Holtz, Susan J. Friedlander

Publication date: 27 November 2017

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.06352

zbMATH Keywords

magnetohydrodynamicshypoellipticityWasserstein distancesingular perturbation theorydegenerate stochastic forcingergodic theory of stochastic partial differential equations

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Magnetohydrodynamics and electrohydrodynamics (76W05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Hypoelliptic equations (35H10) Geo-electricity and geomagnetism (86A25) PDEs in connection with geophysics (35Q86)

Related Items (9)

The small mass limit for long time statistics of a stochastic nonlinear damped wave equation ⋮ Solutions to a class of forced drift-diffusion equations with applications to the magneto-geostrophic equations ⋮ Scaling and saturation in infinite-dimensional control problems with applications to stochastic partial differential equations ⋮ Asymptotic log-Harnack inequality and applications for stochastic 2D hydrodynamical-type systems with degenerate noise ⋮ Large Prandtl number asymptotics in randomly forced turbulent convection ⋮ Invariant measures for nonlinear conservation laws driven by stochastic forcing ⋮ Convergence rate estimates for the low Mach and Alfvén number three-scale singular limit of compressible ideal magnetohydrodynamics ⋮ On the convergence of stationary solutions in the Smoluchowski-Kramers approximation of infinite dimensional systems ⋮ Dispersive estimates for the inviscid rotating stratified Boussinesq equations in the stratification-dominant three-scale limit

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