Stability for a system of the 2D magnetohydrodynamic equations with partial dissipation

DOI10.1016/j.aml.2019.03.013zbMath1417.35126OpenAlexW2922015903WikidataQ128257203 ScholiaQ128257203MaRDI QIDQ1739511

Li Yan, Jiahong Wu, Hongxia Lin, Rui Hong Ji

Publication date: 26 April 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.03.013

zbMATH Keywords

stabilitylarge-time behaviorbackground magnetic fieldresistive magnetohydrodynamic equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (8)

A stability problem for the 3D magnetohydrodynamic equations near equilibrium ⋮ Asymptotic stability and large time behavior of some three dimension magnetohydrodynamic equations ⋮ Smoothing and stabilization effects of magnetic field on electrically conducting fluids ⋮ Stability of hydrostatic equilibrium for the 2D magnetic Bénard fluid equations with mixed partial dissipation, magnetic diffusion and thermal diffusivity ⋮ Asymptotic stability and decay rates for the 2D magnetic Bénard fluid equations with mixed partial dissipation, magnetic diffusion and thermal diffusivity ⋮ Global existence and large time behavior of solutions to 3D MHD system near equilibrium ⋮ Stability of hydrostatic equilibrium to the 2D fractional Boussinesq equations ⋮ Stability and exponential decay of the magnetic Bénard system with horizontal dissipation

Cites Work

• Unnamed Item
• 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 classical solutions of three dimensional viscous MHD system without magnetic diffusion on periodic boxes
• Global well-posedness of the incompressible magnetohydrodynamics
• The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion
• 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
• The 2D magnetohydrodynamic equations with magnetic diffusion
• Longtime Dynamics of a Conductive Fluid in the Presence of a Strong Magnetic Field
• Global Small Solution to the 2D MHD System with a Velocity Damping Term

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