Half Strong Ill-Posedness of $2\frac{1}{2}$D Electron Magnetohydrodynamics with Fractional Resistivity

Xiaotong, Yang, Haoming Zhu

We study the $2\frac{1}{2}$D electron magnetohydrodynamics (MHD): the electron MHD system that has $3$D magnetic field but is independent of $z$-variable. We establish a "half" str…