Hausdorff measure of boundary singular points in the magnetohydrodynamic equations

DOI10.1016/j.jde.2015.10.034zbMath1332.35057OpenAlexW2151723417MaRDI QIDQ898561

Minsuk Yang, Hi Jun Choe

Publication date: 18 December 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.10.034

zbMATH Keywords

generalised Hausdorff measurepowers of logarithmic factors

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Magnetohydrodynamics and electrohydrodynamics (76W05) Weak solutions to PDEs (35D30)

Related Items (4)

Suitable weak solutions of the incompressible magnetohydrodynamic equations in time varying domains ⋮ Remarks on the singular set of suitable weak solutions for the three-dimensional Navier-Stokes equations ⋮ Sharp time decay rates of H ¹ weak solutions for the 2D MHD equations with linear damping velocity ⋮ A regularity criterion at one scale without pressure for suitable weak solutions to the Navier-Stokes equations

Cites Work

• Regularity criteria of the magnetohydrodynamic equations in bounded domains or a half space
• Boundary regularity criteria for suitable weak solutions of the magnetohydrodynamic equations
• Interior regularity criteria for suitable weak solutions of the magnetohydrodynamic equations
• The Navier-Stokes equations on a bounded domain
• Partial regularity of solutions to the Navier-Stokes equations
• Hausdorff measure and the Navier-Stokes equations
• Local regularity of suitable weak solutions to the Navier-Stokes equations near the boundary
• On the singular set in the Navier-Stokes equations
• Partial regularity of weak solutions to the Navier-stokes equations in the class \(L^\infty(0,T;L^3(\Omega)^3)\)
• On partial regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations
• Hausdorff measure of the singular set in the incompressible magnetohydrodynamic equations
• Inéquations en thermoélasticité et magnétohydrodynamique
• Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equa\-tions
• An Introduction to Magnetohydrodynamics
• On the Interior Regularity Criteria for Suitable Weak Solutions of the Magnetohydrodynamics Equations
• Some mathematical questions related to the mhd equations
• A new proof of the Caffarelli-Kohn-Nirenberg theorem
• Partial regularity of suitable weak solutions of the navier-stokes equations
• On the number of singular points of weak solutions to the Navier-Stokes equations

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