Global existence and finite dimensional global attractor for a 3D double viscous MHD-\(\alpha \) model

DOI10.4310/CMS.2010.v8.n4.a12zbMath1205.35221MaRDI QIDQ622318

Paolo Secchi, Davide Catania

Publication date: 31 January 2011

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cms/1288725270

zbMATH Keywords

incompressible fluidglobal attractormagnetohydrodynamicsturbulence modelsregularizing MHDBardina modelMHD-\(\alpha \) model

Mathematics Subject Classification ID

Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items

Pullback attractor and invariant measures for the three-dimensional regularized MHD equations ⋮ Decay characterization of solutions to a 3D magnetohydrodynamics-\(\alpha\) model ⋮ Well-posedness and attractors of the multi-dimensional hyperviscous magnetohydrodynamic equations ⋮ Finite dimensional global attractor for 3D MHD-\(\alpha\) models: a comparison ⋮ Determining modes and determining nodes for the 3D non-autonomous regularized magnetohydrodynamics equations ⋮ Large eddy simulation for turbulent flows with critical regularization ⋮ Remarks on global attractors for the 3D Navier-Stokes equations with horizontal filtering ⋮ Time decay rate of weak solutions to the generalized MHD equations in \(\mathbb{R}^2\) ⋮ Global attractor for the Navier-Stokes equations with fractional deconvolution ⋮ UPPER BOUNDS ON THE NUMBER OF DETERMINING MODES, NODES, AND VOLUME ELEMENTS FOR A 3D MAGENETOHYDRODYNAMIC-<i>α</i> MODEL ⋮ Global attractor and determining modes for a hyperbolic MHD turbulence Model ⋮ Length-scale estimates for the 3D simplified Bardina magnetohydrodynamic model ⋮ Exponential attractors for the 3D fractional-order Bardina turbulence model with memory and horizontal filtering ⋮ The research of Paolo Secchi

This page was built for publication: Global existence and finite dimensional global attractor for a 3D double viscous MHD-\(\alpha \) model