Dissipation wavenumber and regularity for electron magnetohydrodynamics

DOI10.1016/j.jde.2023.09.015zbMath1527.35273arXiv2210.14345MaRDI QIDQ6083324

Unnamed Author, Mimi Dai

Publication date: 31 October 2023

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

Full work available at URL: https://arxiv.org/abs/2210.14345

zbMATH Keywords

magnetohydrodynamicsHall effectdetermining wavenumberlow modes regularity criterion

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Many-body theory; quantum Hall effect (81V70) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Cites Work

• Regularity criterion for the 3D Hall-magneto-hydrodynamics
• Kinetic formulation and global existence for the Hall-magneto-hydrodynamics system
• Remarks on the global regularity issue of the two-and-a-half-dimensional Hall-magnetohydrodynamics system
• On the Cauchy problem for the Hall and electron magnetohydrodynamic equations without resistivity I: Illposedness near degenerate stationary solutions
• Hall cascades versus instabilities in neutron star magnetic fields
• Kolmogorov's dissipation number and the number of degrees of freedom for the 3D Navier–Stokes equations

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