Global regularity for the 2D incompressible MHD-\(\alpha\) system without full dissipation and magnetic diffusions

DOI10.1016/j.jmaa.2015.09.043zbMath1330.35336OpenAlexW2108719751MaRDI QIDQ891374

Caochuan Ma, Yong Zhou, Ahmed Alsaedi, Tasawar Hayat

Publication date: 17 November 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.09.043

zbMATH Keywords

global regularitypartial viscosityMHD-\(\alpha\)

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (3)

Global regularity of 2D incompressible Leray-alpha-MHD equations with only magnetic diffusion ⋮ Global well-posedness of solutions for magnetohydrodynamics-\(\alpha\) model in \(\mathbb{R}^3\) ⋮ Time decay rate of weak solutions to the generalized MHD equations in \(\mathbb{R}^2\)

Cites Work

• On the Cauchy problem for a Leray-\(\alpha \)-MHD model
• Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
• Global Cauchy problem for a 2D Leray-\(\alpha \)-MHD model with zero viscosity
• A regularity criterion for the 2D MHD system with zero magnetic diffusivity
• BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity
• The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion
• Nonexistence of self-similar singularities in the viscous magnetohydrodynamics with zero resistivity
• Inéquations en thermoélasticité et magnétohydrodynamique
• Some mathematical questions related to the mhd equations
• Analytical study of certain magnetohydrodynamic-α models
• Global well-posedness for two modified-Leray-α-MHD models with partial viscous terms
• Global Cauchy problem for the 2-D magnetohydrodynamic-\(\alpha \) models with partial viscous terms

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