Magnetic norm inflation at the ${\ell }^1$ Besov endpoint for viscous non-resistive incompressible MHD

Yingzhe Ban, Boling Guo, Maotuo Guo

We prove magnetic-field norm inflation at the origin for the viscous, non-resistive incompressible magnetohydrodynamic equations on ${\mathbb{R}}^d$, $d\ge 2$, in the endpoint space \[ \dot B…