Note on global regularity of 3D generalized magnetohydrodynamic-\(\alpha\) model with zero diffusivity

DOI10.3934/cpaa.2015.14.585zbMath1314.35114OpenAlexW2327316747MaRDI QIDQ2018448

Zhuan Ye, Xiaojing Xu

Publication date: 14 April 2015

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2015.14.585

zbMATH Keywords

uniquenessglobal regularityfractional Laplacianincompressible 3D MHD-\(\alpha\) model

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Fractional partial differential equations (35R11)

Related Items (3)

Time decay rates for the generalized MHD-α equations in Sobolev–Gevrey spaces ⋮ Global regularity of logarithmically supercritical 3-D LAMHD-alpha system with zero diffusion ⋮ The global existence and analyticity of a mild solution to the 3D regularized MHD equations

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