Global Well-Posedness for the 2-D MHD Equations with Magnetic Diffusion

DOI10.4208/cmr.2020-0022zbMath1474.35545OpenAlexW3095697050MaRDI QIDQ4984024

Dongyi Wei, Zhifei Zhang

Publication date: 26 April 2021

Published in: Communications in Mathematical Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cmr.2020-0022

zbMATH Keywords

global well-posednessMHD equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (18)

Stability for the 2D MHD equations with horizontal dissipation ⋮ Global well-posedness for 2D non-resistive compressible MHD system in periodic domain ⋮ Global well-posedness of 2D incompressible magnetohydrodynamic equations with horizontal dissipation ⋮ Global Well-Posedness of the Inviscid Heat-Conductive Resistive Compressible MHD in a Strip Domain ⋮ Nonlinear stability for the 2D incompressible MHD system with fractional dissipation in the horizontal direction ⋮ Global regularity of 2D MHD equations with almost Laplacian velocity dissipation ⋮ Stability of 2D inviscid MHD equations with only vertical magnetic diffusion on T2 ⋮ The 2D magnetohydrodynamic system with Euler‐like velocity equation and partial magnetic diffusion ⋮ Stability for the 2D incompressible MHD equations with only magnetic diffusion ⋮ Stability and exponential decay for magnetohydrodynamic equations ⋮ Global well-posedness and decay of the 2D incompressible MHD equations with horizontal magnetic diffusion ⋮ Stability and optimal decay for the 3D magnetohydrodynamic equations with only horizontal dissipation ⋮ Optimal decay rates for \(n\)-dimensional generalized magnetohydrodynamic equations ⋮ Global well-posedness for MHD equations with magnetic diffusion and damping term in \(\mathbb{R}^2\) ⋮ Large time behavior of the solutions to 3D incompressible MHD system with horizontal dissipation or horizontal magnetic diffusion ⋮ Global well-posedness for the 3-D MHD equations with partial diffusion in the periodic domain ⋮ Global well-posedness for the non-viscous MHD equations with magnetic diffusion in critical Besov spaces ⋮ Global well-posedness for the 3D magneto-micropolar equations with fractional dissipation

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