On the existence and temporal asymptotics of solutions for the two and half dimensional Hall MHD

Hantaek Bae, Kyungkeun Kang

In this paper, we deal with the $2\frac{1}{2}$ dimensional Hall MHD by taking the velocity field $u$ and the magnetic field $B$ of the form $u(t,x,y)=\left(\nabla^{\perp}ϕ(t,x,y),…