Generalized MHD system with velocity gradient in Besov spaces of negative order

DOI10.1007/s10440-016-0091-0zbMath1378.35230OpenAlexW2562006101WikidataQ60895280 ScholiaQ60895280MaRDI QIDQ1675480

Zujin Zhang

Publication date: 27 October 2017

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-016-0091-0

zbMATH Keywords

regularity criteriafractional diffusiongeneralized MHD system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Fractional derivatives and integrals (26A33) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (4)

A remark on the global regularity criterion for the 3D Navier-Stokes equations based on end-point Prodi-Serrin conditions ⋮ A regularity criterion for a generalized Hall-MHD system ⋮ Global existence of discretely self-similar solutions to the generalized MHD system in Besov space ⋮ Regularity criteria for 3D generalized incompressible magneto-micropolar fluid equations

Cites Work

• Global regularity for a class of generalized magnetohydrodynamic equations
• Regularity criteria for the generalized magnetohydrodynamic equations and the quasi-geostrophic equations
• Generalized MHD equations.
• A regularity criterion for the 3D generalized MHD equations
• Regularity criteria for the generalized viscous MHD equations
• Fourier Analysis and Nonlinear Partial Differential Equations
• Bilinear estimates in homogeneous Triebel-Lizorkin spaces and the Navier-Stokes equations
• Commutator estimates and the euler and navier-stokes equations
• Regularity Criteria for the Generalized MHD Equations

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