Global Cauchy problem for the 2-D magnetohydrodynamic-\(\alpha \) models with partial viscous terms
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Publication:5962220
DOI10.1007/s00021-008-0289-7zbMath1195.76428OpenAlexW2095563203MaRDI QIDQ5962220
Publication date: 21 September 2010
Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00021-008-0289-7
PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)
Related Items (20)
Regularity results on the Leray-alpha magnetohydrodynamics systems ⋮ Global regularity of 2D incompressible Leray-alpha-MHD equations with only magnetic diffusion ⋮ Global regularity of logarithmically supercritical 3-D LAMHD-alpha system with zero diffusion ⋮ A remark on the two-dimensional magneto-hydrodynamics-alpha system ⋮ On the initial boundary value problem for certain 2D MHD-\(\alpha\) equations without velocity viscosity ⋮ Decay characterization of solutions to a 3D magnetohydrodynamics-\(\alpha\) model ⋮ Global regularity for the 2D incompressible MHD-\(\alpha\) system without full dissipation and magnetic diffusions ⋮ Finite dimensional global attractor for 3D MHD-\(\alpha\) models: a comparison ⋮ Global existence for a regularized magnetohydrodynamic-\(\alpha \) model ⋮ The global existence and analyticity of a mild solution to the 3D regularized MHD equations ⋮ Regularity criteria for the 2D MHD system with horizontal dissipation and horizontal magnetic diffusion ⋮ Logarithmically extended global regularity result of Lans-alpha MHD system in two-dimensional space ⋮ Note on global regularity of 3D generalized magnetohydrodynamic-\(\alpha\) model with zero diffusivity ⋮ Note on global regularity of 2D regularized MHD equations with zero magnetic diffusion ⋮ UPPER BOUNDS ON THE NUMBER OF DETERMINING MODES, NODES, AND VOLUME ELEMENTS FOR A 3D MAGENETOHYDRODYNAMIC-<i>α</i> MODEL ⋮ Global regularity for the incompressible MHD-\({\alpha}\) system with fractional diffusion ⋮ On the ideal compressible magnetohydrodynamic equations ⋮ Length-scale estimates for the 3D simplified Bardina magnetohydrodynamic model ⋮ Asymptotic behavior of two-dimensional stochastic magneto-hydrodynamics equations with additive noises ⋮ Global regularity of 3D generalized incompressible magnetohydrodynamic-\(\alpha\) model
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