Regularity criteria in terms of the pressure for the three-dimensional MHD equations

DOI10.1016/j.amc.2013.06.055zbMath1329.76389OpenAlexW2039298293MaRDI QIDQ905279

Shan Li, Hongxia Lin

Publication date: 19 January 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.06.055

zbMATH Keywords

pressureregularity criterionstrong solutionthree-dimensional MHD equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (4)

A new class of regularity criteria for the MHD and Navier-Stokes equations ⋮ On the global regularity for the 3D magnetohydrodynamics equations involving partial components ⋮ On the role of pressure in the theory of MHD equations ⋮ New regularity criteria for weak solutions to the MHD equations in terms of an associated pressure

Cites Work

• Regularity criteria for the 3D MHD equations involving partial components
• A new regularity criterion for the 3D incompressible MHD equations in terms of one component of the gradient of pressure
• Remarks on regularities for the 3D MHD equations
• Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor
• Two regularity criteria for the 3D MHD equations
• On the regularity criterion of weak solution for the 3D viscous magneto-hydrodynamics equations
• Regularity criteria for the 3D MHD equations in terms of the pressure
• Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD
• Viscous and inviscid magneto-hydrodynamics equations
• Regularity results for weak solutions of the 3D MHD equations.
• Bounds and new approaches for the 3D MHD equations
• Regularity criteria for the three-dimensional MHD equations
• On the regularity of weak solutions to the magnetohydrodynamic equations
• Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equa\-tions
• Some mathematical questions related to the mhd equations
• Regularity criteria for the three-dimensional Navier-Stokes equations
• Regularity criteria for incompressible magnetohydrodynamics equations in three dimensions
• Regularity Criterion for Solutions of Three-Dimensional Turbulent Channel Flows
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