Regularity criterion for the 3D Hall-magnetohydrodynamic equations involving the vorticity

DOI10.1016/j.na.2016.07.004zbMath1348.35206OpenAlexW2478277092MaRDI QIDQ739442

D. Kharzeev

Publication date: 18 August 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2016.07.004

zbMATH Keywords

regularity criterionincompressible Hall-MHD equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) PDEs in connection with astronomy and astrophysics (35Q85)

Related Items (9)

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 ⋮ Remark on regularity criterion for the 3D Hall-MHD equations involving only the vorticity ⋮ An improved regularity criterion for the 3D Hall-MHD equations via the vorticity ⋮ The 3D incompressible Hall magneto-hydrodynamics equations with partial hyperdissipation ⋮ A note on the Liouville type theorem for the smooth solutions of the stationary Hall-MHD system ⋮ A regularity criterion of smooth solution for the 3D viscous Hall-MHD equations ⋮ Regularity criteria for 3D Hall-MHD equations

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