Local regularity of the magnetohydrodynamics equations near the curved boundary

DOI10.3934/cpaa.2016.15.507zbMath1329.35233OpenAlexW2526472823MaRDI QIDQ906806

Jae-Myoung Kim

Publication date: 29 January 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2016.15.507

zbMATH Keywords

suitable weak solutionsmagnetohydrodynamics equationslocal regularity condition

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Initial value problems for second-order parabolic equations (35K15)

Cites Work

• On the boundary regularity of weak solutions to the MHD system
• Boundary regularity criteria for suitable weak solutions of the magnetohydrodynamic equations
• Partial regularity of solutions to the magnetohydrodynamic equations
• Interior regularity criteria for suitable weak solutions of the magnetohydrodynamic equations
• Local regularity of the Navier-Stokes equations near the curved boundary
• The Navier-Stokes equations on a bounded domain
• Partial regularity of solutions to the Navier-Stokes equations
• Some estimates near the boundary for solutions to the nonstationary linearized Navier-Stokes equations
• On the local smoothness of weak solutions to the MHD system near the boundary
• 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

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