Remarks on Leray's self‐similar solutions to the 3D magnetohydrodynamic equations

DOI10.1002/mma.3001zbMath1317.35189OpenAlexW2102992071MaRDI QIDQ5256490

Mekki Terbeche, Samia Benbernou, Maria Alessandra Ragusa

Publication date: 17 June 2015

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

Full work available at URL: https://doi.org/10.1002/mma.3001

zbMATH Keywords

self-similar solutionBMO spacemagnetohydrodynamic equationsMorrey-Campanato space

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Magnetohydrodynamics and electrohydrodynamics (76W05) Self-similar solutions to PDEs (35C06)

Related Items (1)

note on the regularity criterion for the micropolar fluid equations in homogeneous Besov spaces

Cites Work

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• The Navier-Stokes equations in the critical Morrey-Campanato space
• A new regularity criterion for weak solutions to the viscous MHD equations in terms of the vorticity field
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• Regularity criteria for the solutions to the 3D MHD equations in the multiplier space
• On the regularity criterion of weak solution for the 3D viscous magneto-hydrodynamics equations
• On Leray's self-similar solutions of the Navier-Stokes equations satisfying local energy estimates
• Compensated compactness and Hardy spaces
• A new regularity criterion for the nematic liquid crystal flows
• Partial regularity of suitable weak solutions of the navier-stokes equations
• Interpolation inequalities in Besov spaces

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