An improved regularity criterion of three-dimensional magnetohydrodynamic equations

DOI10.1016/j.nonrwa.2011.09.010zbMath1239.76070OpenAlexW2021367244MaRDI QIDQ425954

Yan Jia, Wenliang Zhang, Bo-Qing Dong

Publication date: 10 June 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.09.010

zbMATH Keywords

Besov spaceregularity criterionMHD equations

Mathematics Subject Classification ID

Related Items (9)

A regularity criterion of the 3D MHD equations involving one velocity and one current density component in Lorentz space ⋮ Remarks on the pressure regularity criterion of the micropolar fluid equations in multiplier spaces ⋮ Asymptotic regularity for the generalized MHD‐Boussinesq equations ⋮ On the regularity criterion for the 3D generalized MHD equations in Besov spaces ⋮ A new regularity criterion for the three-dimensional incompressible magnetohydrodynamic equations in the Besov spaces ⋮ A double-logarithmically improved regularity criterion of weak solutions for the 3D MHD equations ⋮ Remarks on pressure blow-up criterion of the 3D zero-diffusion Boussinesq equations in margin Besov spaces ⋮ A new regularity criterion for the 3D incompressible MHD equations via partial derivatives ⋮ An improved pressure regularity criterion of magnetohydrodynamic equations in critical Besov spaces

Cites Work

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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 the regularity criteria for weak solutions to the magnetohydrodynamic equations
• On the regularity of weak solutions to the magnetohydrodynamic equations
• Some mathematical questions related to the mhd equations
• Remark on the regularity for weak solutions to the magnetohydrodynamic equations
• Extension criterion on regularity for weak solutions to the 3D MHD equations
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires

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