2 papers
math.AP2026
Determining wavenumbers for Hall and electron magnetohydrodynamics turbulence
Hassan Babaei, Mimi Dai
In turbulent flows, the Kolmogorov wavenumber characterizes the smallest scales at which viscous effects dominate. A mathematical analogue of this notion first introduced by Foias…
math.AP2024
Ill-posedness of D electron MHD
Mimi Dai
We consider the electron magnetohydrodynamics (MHD) in the context where the 3D magnetic field depends only on the two horizontal plane variables. In particular, the magnetic field…