Regularity criteria of axisymmetric weak solutions to the 3D magnetohydrodynamic equations

DOI10.1007/s10255-013-0223-5zbMath1329.35256OpenAlexW2396358071MaRDI QIDQ350749

Feng-Ping Li, Bao-Quan Yuan

Publication date: 3 July 2013

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

Full work available at URL: https://doi.org/10.1007/s10255-013-0223-5

zbMATH Keywords

Besov spaceregularity criteriaaxisymmetric solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Weak solutions to PDEs (35D30)

Related Items (7)

Global weighted regularity for the 3D axisymmetric MHD equations ⋮ Regularity via one vorticity component for the 3D axisymmetric MHD equations ⋮ Regularity criteria for the 3D axisymmetric non-resistive MHD system in the swirl component of the vorticity ⋮ Regularity criteria for the 3D axisymmetric non-resistive MHD system ⋮ Regularity criteria for the 3D axisymmetric non-resistive MHD system in Lorentz spaces ⋮ Global well-posedness and decay results to 3D generalized viscous magnetohydrodynamic equations ⋮ Regularity criteria of axisymmetric weak solutions to the 3D MHD equations

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