A new regularity criterion for the 3D MHD equations involving partial components

DOI10.1007/s10440-014-9876-1zbMath1308.35203OpenAlexW2064446035MaRDI QIDQ2255619

Mingxuan Zhu, Zhengguang Guo, Xiao-chun Chen

Publication date: 17 February 2015

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

Full work available at URL: https://doi.org/10.1007/s10440-014-9876-1

zbMATH Keywords

regularity criterionMHD equationspartial components

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)

Related Items (9)

Global weighted regularity for the 3D axisymmetric MHD equations ⋮ Global axisymmetric solutions to the 3D MHD equations with nonzero swirl ⋮ A regularity criterion of the 3D MHD equations involving one velocity and one current density component in Lorentz space ⋮ Regularity via one vorticity component for the 3D axisymmetric MHD equations ⋮ A new class of regularity criteria for the MHD and Navier-Stokes equations ⋮ A new regularity criterion for the three-dimensional incompressible magnetohydrodynamic equations in the Besov spaces ⋮ On the global regularity for the 3D magnetohydrodynamics equations involving partial components ⋮ On conditional regularity for the MHD equations via partial components ⋮ A new regularity criterion for the 3D incompressible MHD equations via partial derivatives

Cites Work

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• Some regularity criteria for the 3D incompressible magnetohydrodynamics
• Regularity criteria for the 3D MHD equations in terms of the pressure
• Regularity criteria for the 3D MHD equations via partial derivatives
• A new regularity criterion for the Navier-Stokes equations in terms of the gradient of one velocity component.
• On the regularity of weak solutions to the magnetohydrodynamic equations
• A new regularity criterion for weak solutions to the Navier-Stokes equations
• Some mathematical questions related to the mhd equations
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• On the regularity of the solutions of the Navier–Stokes equations via one velocity component
• On a regularity criterion for the Navier–Stokes equations involving gradient of one velocity component
• Regularity criteria for the three-dimensional Navier-Stokes equations

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