A remark on the blow-up criterion for the 3D Hall-MHD system in Besov spaces

DOI10.1016/j.jmaa.2016.04.034zbMath1338.35077OpenAlexW2336676910MaRDI QIDQ276819

Zujin Zhang

Publication date: 4 May 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.04.034

zbMATH Keywords

critical Besov spacesHall-MHD systemblow-up criteriaextension beyond blow-up

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Continuation and prolongation of solutions to PDEs (35B60) Blow-up in context of PDEs (35B44)

Related Items (11)

Well-posedness for the incompressible Hall-MHD equations in low regularity spaces ⋮ Global wellposedness for Hall-MHD equations ⋮ On uniqueness and helicity conservation of weak solutions to the electron-MHD system ⋮ On well-posedness of generalized Hall-magneto-hydrodynamics ⋮ A regularity criterion for a generalized Hall-MHD system ⋮ Regularity criteria for the 3D dissipative system modeling electro-hydrodynamics ⋮ Continuous dependence of solutions in low regularity spaces for the Hall-MHD equations ⋮ A remark on regularity criterion for the 3D Hall-MHD equations based on the vorticity ⋮ The 3D incompressible Hall magneto-hydrodynamics equations with partial hyperdissipation ⋮ Blow-up criteria for the 3D Bénard system in Besov spaces ⋮ Beale-Kato-Majda regularity criterion of smooth solutions for the Hall-MHD equations with zero viscosity

Cites Work

• Regularity criteria for the incompressible Hall-magnetohydrodynamic equations
• Kinetic formulation and global existence for the Hall-magneto-hydrodynamics system
• Well-posedness for Hall-magnetohydrodynamics
• Local well-posedness for the Hall-MHD equations with fractional magnetic diffusion
• On hydromagnetic waves in atmospheres with application to the Sun
• Regularity criteria for the density-dependent Hall-magnetohydrodynamics
• On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics
• Bifurcation analysis of magnetic reconnection in Hall-MHD-systems
• Fourier Analysis and Nonlinear Partial Differential Equations
• Bilinear estimates in homogeneous Triebel-Lizorkin spaces and the Navier-Stokes equations
• Studies on Magneto-Hydrodynamic Waves and other Anisotropic wave motions
• Commutator estimates and the euler and navier-stokes equations
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