Higher order commutator estimates and local existence for the non-resistive MHD equations and related models

C. L. Fefferman, D. S. McCormick, J. C. Robinson +1

This paper establishes the local-in-time existence and uniqueness of strong solutions in $H^s$ for $s>n/2$ to the viscous, non-resistive magnetohydrodynamics (MHD) equations in…