Remark on the global regularity of 2D MHD equations with almost Laplacian magnetic diffusion

DOI10.1007/s00028-017-0421-3zbMath1398.35183OpenAlexW2772340428MaRDI QIDQ1670273

Peng Zhang

Publication date: 5 September 2018

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-017-0421-3

zbMATH Keywords

classical solutionsglobal regularitygeneralized MHD equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (11)

Global regularity of 2D incompressible Leray-alpha-MHD equations with only magnetic diffusion ⋮ Global regularity of 2D magnetic Bénard fluid equations with zero kinematic viscosity, almost Laplacian magnetic diffusion and thermal diffusivity ⋮ Global regularity for solutions to 2D generalized MHD equations with multiple exponential upper bound uniformly in time ⋮ Global Solutions to 3D Incompressible MHD System with Dissipation in Only One Direction ⋮ Mild ill-posedness in \(L^\infty\) for 2D magnetohydrodynamic system with damping ⋮ Global existence and uniqueness of the 2D damped wave-type MHD equations ⋮ Stability and optimal decay for the 3D magnetohydrodynamic equations with only horizontal dissipation ⋮ Optimal decay rates for \(n\)-dimensional generalized magnetohydrodynamic equations ⋮ Global solutions of 3D incompressible MHD system with mixed partial dissipation and magnetic diffusion near an equilibrium ⋮ Global regularity of the 2D magnetohydrodynamic equations with fractional anisotropic dissipation ⋮ Global regularity of 2D temperature-dependent MHD-Boussinesq equations with zero thermal diffusivity

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