A logarithmic regularity criterion for the 3D generalized MHD system

DOI10.1002/MMA.3480zbMath1335.35193OpenAlexW1992074555MaRDI QIDQ2795291

Jinkai Li, Jishan Fan

Publication date: 18 March 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3480

zbMATH Keywords

regularity criteriongeneralized MHDlogarithmic

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)

Related Items (3)

A regularity criterion for the 3D generalized MHD system involving partial components ⋮ Regularity criteria for 3D generalized incompressible magneto-micropolar fluid equations ⋮ Inverse coefficient problem for a magnetohydrodynamics system by Carleman estimates

Cites Work

• Global regularity for a class of generalized magnetohydrodynamic equations
• Logarithmically improved regularity criteria for the Navier-Stokes and MHD equations
• Generalized MHD equations.
• The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
• Bilinear estimates in \(BMO\) and the Navier-Stokes equations
• Regularity criteria for the generalized viscous MHD equations
• \(H^p\) spaces of several variables
• Regularity Criteria for the Generalized MHD Equations

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