Local existence for the non-resistive MHD equations in nearly optimal Sobolev spaces

Charles L. Fefferman, David S. McCormick, James C. Robinson +1

This paper establishes the local-in-time existence and uniqueness of solutions to the viscous, non-resistive magnetohydrodynamics (MHD) equations in ${\mathbb{R}}^d$, $d=2,3$, with i…