Global regularity for the 3D generalized Hall-MHD system

DOI10.1016/j.aml.2016.05.005zbMath1347.35058OpenAlexW2406564933MaRDI QIDQ308903

Mingxuan Zhu, Caochuan Ma, Nana Pan

Publication date: 6 September 2016

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

Full work available at URL: https://doi.org/10.1016/j.aml.2016.05.005

zbMATH Keywords

global existencesmall initial data

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Magnetohydrodynamics and electrohydrodynamics (76W05) Initial value problems for systems of nonlinear higher-order PDEs (35G55)

Related Items (12)

Global wellposedness for Hall-MHD equations ⋮ On well-posedness of generalized Hall-magneto-hydrodynamics ⋮ A regularity criterion for the generalized Hall-MHD system ⋮ Decay characterization of solutions to generalized Hall-MHD system in R3 ⋮ Global smooth solutions to the 3D generalized Hall-magnetohydrodynamic equations with large data ⋮ On the asymptotic behavior of solutions to 3D generalized Hall‐MHD equations ⋮ Global existence and asymptotic behavior for the 3D generalized Hall-MHD system ⋮ A class of large solutions to the 3D generalized Hall-MHD equations ⋮ The 3D incompressible Hall magneto-hydrodynamics equations with partial hyperdissipation ⋮ Unnamed Item ⋮ On 3D Hall-MHD equations with fractional Laplacians: global well-posedness ⋮ On the well-posedness and temporal decay for the 3D generalized incompressible Hall-MHD system

Cites Work

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• On blow-up criteria for a new Hall-MHD system
• Well-posedness for Hall-magnetohydrodynamics
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• Regularity criteria and small data global existence to the generalized viscous Hall-magnetohydrodynamics
• Low regularity well-posedness for the 3D generalized Hall-MHD system
• On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics
• On regularity criteria for the 3D Hall-MHD equations in terms of the velocity
• Regularity criteria for the incompressible Hall-MHD system
• Studies on Magneto-Hydrodynamic Waves and other Anisotropic wave motions
• Commutator estimates and the euler and navier-stokes equations
• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation

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