Remarks on the regularity to 3D ideal magnetohydrodynamic equations

DOI10.1007/s10114-003-0296-9zbMath1083.35115OpenAlexW2073471311MaRDI QIDQ705105

Quansen Liu, Cheng He

Publication date: 25 January 2005

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-003-0296-9

zbMATH Keywords

sufficient regularity conditions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (7)

On the regularity criteria for weak solutions to the magnetohydrodynamic equations ⋮ Global existence of strong solutions to the multi-dimensional inhomogeneous incompressible MHD equations ⋮ A stability problem for the 3D magnetohydrodynamic equations near equilibrium ⋮ BMO and the regularity criterion for weak solutions to the magnetohydrodynamic equations ⋮ Global helically symmetric solutions to 3D MHD equations ⋮ Regularity criteria for the three-dimensional MHD equations ⋮ Fundamental solution of the anisotropic porous medium equation

Cites Work

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• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD
• Viscous and inviscid magneto-hydrodynamics equations
• Analytic results related to magneto-hydrodynamic turbulence
• On the regularity of weak solutions to the magnetohydrodynamic equations
• Some mathematical questions related to the mhd equations
• Geometric Statistics in Turbulence
• Geometric constraints on potentially

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