On the global well-posedness of the 3D axisymmetric resistive MHD equations

DOI10.1007/s00023-021-01146-wzbMath1504.35326arXiv2101.02410OpenAlexW3120001608MaRDI QIDQ2159080

Zineb Hassainia

Publication date: 26 July 2022

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.02410

zbMATH Keywords

global well-posednessBeale-Kato-Majda criterionmagnetohydrodynamics (MHD) equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Maximal functions, Littlewood-Paley theory (42B25) A priori estimates in context of PDEs (35B45) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Axially symmetric solutions to PDEs (35B07)

Related Items

Inviscid limit for the full viscous MHD system with critical axisymmetric initial data, On the large data global well-posedness of inviscid axially symmetric MHD-Boussinesq system, Global well-posedness for the non-viscous MHD equations with magnetic diffusion in critical Besov spaces

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