Limiting case for the regularity criterion of the Navier-Stokes equations and the magnetohydrodynamic equations

DOI10.1007/s11425-010-3135-3zbMath1214.35044OpenAlexW2061055120MaRDI QIDQ625776

Cheng He, Yun Wang

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-3135-3

zbMATH Keywords

Navier-Stokes equationsregularity criterionmagnetohydrodynamics equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (9)

Partial regularity of suitable weak solutions to the four-dimensional incompressible magneto-hydrodynamic equations ⋮ Decay properties of solutions to the incompressible magnetohydrodynamics equations in a half space ⋮ Nonlinear instability for nonhomogeneous incompressible viscous fluids ⋮ Energy conservation and regularity for the 3D magneto-hydrodynamics equations ⋮ The local characterizations of the singularity formation for the MHD equations ⋮ Remark on the regularity for weak solutions to the magnetohydrodynamic equations ⋮ On the interior regularity criteria and the number of singular points to the Navier-Stokes equations ⋮ Unnamed Item ⋮ New regularity criteria based on pressure or gradient of velocity in Lorentz spaces for the 3D Navier-Stokes equations

Cites Work

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• On the regularity criterion of weak solution for the 3D viscous magneto-hydrodynamics equations
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• Viscous and inviscid magneto-hydrodynamics equations
• Regularity results for weak solutions of the 3D MHD equations.
• Bilinear estimates in \(BMO\) and the Navier-Stokes equations
• On the regularity of weak solutions to the magnetohydrodynamic equations
• Convolution operators and L(p, q) spaces
• The initial value problem for the Navier-Stokes equations with data in L\(^p\)
• On interior regularity criteria for weak solutions of the Navier-Stokes equations
• Some mathematical questions related to the mhd equations
• Remark on the regularity for weak solutions to the magnetohydrodynamic equations
• On partial regularity results for the navier-stokes equations
• L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
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