Global well-posedness for the non-viscous MHD equations with magnetic diffusion in critical Besov spaces

DOI10.1007/s10114-022-1400-3zbMath1498.35451arXiv2105.03124OpenAlexW4304777162MaRDI QIDQ2084818

Zhaoyang Yin, Weikui Ye

Publication date: 13 October 2022

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

Full work available at URL: https://arxiv.org/abs/2105.03124

zbMATH Keywords

global existencecritical Besov spaceslocal well-posednessnon-viscous MHD equations with magnetic diffusion

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) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (3)

Stability for the 2D incompressible MHD equations with only magnetic diffusion ⋮ Global well-posedness and decay of the 2D incompressible MHD equations with horizontal magnetic diffusion ⋮ Global well-posedness for MHD equations with magnetic diffusion and damping term in \(\mathbb{R}^2\)

Cites Work

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• On the Global Solution of a 3‐D MHD System with Initial Data near Equilibrium
• Global Well-Posedness for the 2-D MHD Equations with Magnetic Diffusion
• Non-Uniform Decay of MHD Equations With and Without Magnetic Diffusion

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