The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field

Fei Wang, Lingda Xu, Zeren Zhang

We address a stability threshold problem of the Couette flow $(y,0,0)$ in a uniform magnetic fleld $\alpha (\sigma ,0,1)$ with $\sigma \in \mathbb{Q}$ for the 3D MHD equations on $\mathbb{T}\times\ma…