2 papers
math.AP2025
Well-posedness of the electron MHD with partial resistivity
Mimi Dai, Hassan Babaei
Due to the singular nonlinear Hall term, the non-resistive electron magnetohydrodynamics (MHD) is not known to be locally well-posed in general. In this paper we consider the $2\fr…
math.AP2025
Well-posedness and blowup of 1D electron magnetohydrodynamics
Mimi Dai
The one-dimensional toy models proposed for the three-dimensional electron magnetohydrodynamics in our previous work share some similarities with the original dynamics under certai…