On the interior regularity conditions of a suitable weak solution to 3D MHD equations

DOI10.1007/S00030-024-01002-WMaRDI QIDQ6646124

Jae-Myoung Kim

Publication date: 29 November 2024

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacevorticityGronwall inequalitycomponent reductionlocal regularity conditionCalderon-Zygmund estimate

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Cites Work

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• Partial regularity of solutions to the magnetohydrodynamic equations
• Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equa\-tions
• An introduction to magnetohydrodynamics
• Some mathematical questions related to the mhd equations
• On the Interior Regularity of Suitable Weak Solutions to the Navier–Stokes Equations
• An interior regularity criterion for an axially symmetric suitable weak solution to the Navier-Stokes equations

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