Local well-posedness of the Hall-MHD system in $H^s({\mathbb{R}}^n)$ with $s>\frac{n}{2}$

Mimi Dai

We establish local well-posedness of the Hall-magneto-hydrodynamics (Hall-MHD) system in the Sobolev space ${\left(H^s({\mathbb{R}}^n)\right)}^2$ with $s>\frac{n}{2}$. The previously know…