Global existence and exponential stability of solutions for planar compressible Hall-magnetohydrodynamic equations

DOI10.1016/j.jde.2017.05.003zbMath1375.35404OpenAlexW2619446629MaRDI QIDQ2013154

Ying Yang, Qiang Tao, Zheng-An Yao

Publication date: 3 August 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.05.003

zbMATH Keywords

exponential stabilityglobal existenceHall-magnetohydrodynamic equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) 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)

Related Items (14)

Decay rates of the compressible Hall-MHD equations for quantum plasmas ⋮ Global well-posedness of the compressible quantum magnetohydrodynamic model with small initial energy ⋮ Low Mach number limit of the full compressible Hall-magnetohydrodynamic equation with general initial data ⋮ Global strong solutions to the Cauchy problem of the planar non-resistive magnetohydrodynamic equations with large initial data ⋮ The optimal upper and lower bounds of convergence rates for the 3D Navier-Stokes equations under large initial perturbation ⋮ The optimal temporal decay rates for compressible Hall-magnetohydrodynamics system ⋮ On vanishing limits of the shear viscosity and Hall coefficients for the planar compressible Hall‐MHD system ⋮ Decay rates of the highest order spatial derivatives for solutions of compressible Hall MHD system with or without Coulomb force ⋮ Hall effect on the asymptotic stability of the planar compressible MHD flows ⋮ Decay rates of the compressible Hall-magnetohydrodynamic model for quantum plasmas ⋮ A free boundary problem for planar compressible Hall-magnetohydrodynamic equations ⋮ Global existence of large solutions to the planar magnetohydrodynamic equations with zero magnetic diffusivity ⋮ Global well-posedness of the full compressible Hall-MHD equations ⋮ Temporal decay for the highest-order derivatives of solutions of the compressible Hall-magnetohydrodynamic equations

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