Low regularity global well-posedness of axisymmetric MHD equations with vertical dissipation and magnetic diffusion

DOI10.1016/j.jde.2024.08.016MaRDI QIDQ6615824

Guilong Gui, Xueli Ke, Hammadi Abidi

Publication date: 8 October 2024

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

zbMATH Keywords

global well-posednessLorentz spacesaxisymmetric MHD equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Axially symmetric solutions to PDEs (35B07)

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