On the regularity criterion of weak solutions for the 3D MHD equations

DOI10.1007/s00033-017-0890-9zbMath1379.35240OpenAlexW2769290570MaRDI QIDQ680180

Maria Alessandra Ragusa, Saddek Gala

Publication date: 22 January 2018

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-017-0890-9

zbMATH Keywords

Besov spacesmooth solutionsregularity criterionMHD equationsblow-up criterion

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (9)

On the well-posedness problem of the electrorheological fluid equations ⋮ Existence of global solutions for the semilinear nonlocal fractional Cauchy problem of the Schrödinger equation ⋮ A new blow up criterion for the 3D magneto-micropolar fluid flows without magnetic diffusion ⋮ A regularity criterion of the 3D MHD equations involving one velocity and one current density component in Lorentz space ⋮ Derivation of specific solutions and asymptotic analysis for the cylindrical Dirichlet problem ⋮ Weighted regularity criteria of weak solutions to the incompressible 3D MHD equations ⋮ A double-logarithmically improved regularity criterion of weak solutions for the 3D MHD equations ⋮ Beale-Kato-Majda's criterion for magneto-hydrodynamic equations with zero viscosity ⋮ Energy conservation for the nonhomogeneous incompressible ideal Hall-MHD equations

Cites Work

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• Regularity criteria for the 3D MHD equations via partial derivatives
• On the regularity of weak solutions to the magnetohydrodynamic equations
• Inéquations en thermoélasticité et magnétohydrodynamique
• Some mathematical questions related to the mhd equations

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