Refined blow-up criterion for the 3D magnetohydrodynamics equations

DOI10.1080/00036811.2012.751589zbMath1294.76290OpenAlexW2061870369WikidataQ58242293 ScholiaQ58242293MaRDI QIDQ5404684

Qian Zhang

Publication date: 28 March 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2012.751589

zbMATH Keywords

Besov spacesMHD equationsblow-up criterion

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (2)

An Osgood type regularity criterion for the liquid crystal flows ⋮ On the blow-up criterion for the 3D Boussinesq system with zero viscosity constant

Cites Work

• Logarithmically improved regularity criteria for the Navier-Stokes and MHD equations
• Remarks on regularities for the 3D MHD equations
• The Beale-Kato-Majda criterion for the 3D magneto-hydrodynamics equations
• A new regularity criterion for weak solutions to the viscous MHD equations in terms of the vorticity field
• Regularity criteria for the solutions to the 3D MHD equations in the multiplier space
• Remarks on the breakdown of smooth solutions for the 3-D Euler 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
• On the regularity of weak solutions to the magnetohydrodynamic equations
• Logarithmically improved regularity criteria for the 3D viscous MHD equations
• Some mathematical questions related to the mhd equations
• Regularity Criteria for the Generalized MHD Equations

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