Haoming Zhu

collaborators

2 papers

math.AP2026

Low Regularity Norm Inflation of Axisymmetric Hall Magnetohydrodynamics in Sobolev Space

Haoming Zhu

In this paper, we study the axisymmetric Hall magnetohydrodynamics where $u = u^{r} e_{r} + u^{z} e_{z}$ and $B = B^{θ} e_{θ}$ . We construct small, smooth, compactly supported, and axisymmetric ini…

math.AP2026

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…

Low Regularity Norm Inflation of Axisymmetric Hall Magnetohydrodynamics in Sobolev Space

Half Strong Ill-Posedness of 221​D Electron Magnetohydrodynamics with Fractional Resistivity

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