A regularity criterion for the density-dependent Hall-magnetohydrodynamics

DOI10.4171/ZAA/1539zbMath1329.35094OpenAlexW2249294468MaRDI QIDQ496876

Tasawar Hayat, Jishan Fan, Ahmed Alsaedi, Yasuhide Fukumoto, Yong Zhou

Publication date: 22 September 2015

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1539

zbMATH Keywords

Hall-MHD systempositive initial density

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (12)

Local existence and blow-up criterion of the ideal density-dependent flows ⋮ Uniform regularity for a density-dependent incompressible Hall-MHD system ⋮ On the asymptotic behavior of solutions to 3D generalized Hall‐MHD equations ⋮ On the global well-posedness for the compressible Hall-MHD system ⋮ On blow-up criteria for a new Hall-MHD system ⋮ A regularity criterion for a new density-dependent Hall-MHD system ⋮ Global well-posedness and analyticity of solutions to three-dimensional Hall-MHD equations ⋮ Asymptotic stability of stationary solutions for Hall magnetohydrodynamic equations ⋮ Global existence and temporal decay for the 3D compressible Hall-magnetohydrodynamic system ⋮ On the well-posedness and temporal decay for the 3D generalized incompressible Hall-MHD system ⋮ The asymptotic stability of the solution to the full Hall-MHD system in \(\mathbb{R}^3\) ⋮ Space–time decay of solutions to three-dimensional MHD equations with Hall and ion-slip effects

Cites Work

• Kinetic formulation and global existence for the Hall-magneto-hydrodynamics system
• On strong solutions to the compressible Hall-magnetohydrodynamic system
• Strong solutions to the incompressible magnetohydrodynamic equations with vacuum
• Well-posedness for the axisymmetric incompressible viscous Hall-magnetohydrodynamic equations
• Regularity criteria for the three-dimensional magnetohydrodynamic equations
• On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics
• Existence results in critical spaces for a system of inhomogeneous MHD
• On the weak solutions to the Maxwell-Landau-Lifshitz equations and to the Hall-Magneto-Hydrodynamic equations
• On the temporal decay for the Hall-magnetohydrodynamic equations
• Unnamed Item

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