Global well-posedness of the MHD equations via the comparison principle

DOI10.1007/s11425-017-9217-8zbMath1402.76160arXiv1705.10010OpenAlexW2620556182WikidataQ129091943 ScholiaQ129091943MaRDI QIDQ1623857

Zhifei Zhang, Dongyi Wei

Publication date: 23 November 2018

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.10010

zbMATH Keywords

comparison principleglobal well-posednessMHD equations

Mathematics Subject Classification ID

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

Related Items (10)

Global Solutions of the Three-Dimensional Incompressible Ideal MHD Equations with Velocity Damping in Horizontally Periodic Domains ⋮ Global well‐posedness and asymptotics of full compressible non‐resistive magnetohydrodynamics system with large external potential forces ⋮ Stability for the 2D incompressible MHD equations with only magnetic diffusion ⋮ Regularization by transport noises for 3D MHD equations ⋮ Inverse scattering of Alfvén waves in three dimensional ideal magnetohydrodynamics ⋮ Preface ⋮ On the ideal magnetohydrodynamics in three-dimensional thin domains: well-posedness and asymptotics ⋮ Global solutions to the ideal MHD system with a strong magnetic background ⋮ Global well-posedness for the 3-D MHD equations with partial diffusion in the periodic domain ⋮ Global well-posedness for the 3D magneto-micropolar equations with fractional dissipation

Cites Work

• Global small solutions of 2-D incompressible MHD system
• Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
• On global dynamics of three dimensional magnetohydrodynamics: nonlinear stability of Alfvén waves
• Global well-posedness of the incompressible magnetohydrodynamics
• Global existence and decay of smooth solution for the 2-D MHD equations without magnetic diffusion
• Global well-posedness of the MHD equations in a homogeneous magnetic field
• Global well-posedness for the 2D MHD equations without magnetic diffusion in a strip domain
• Longtime Dynamics of a Conductive Fluid in the Presence of a Strong Magnetic Field
• On the Global Solution of a 3‐D MHD System with Initial Data near Equilibrium

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