Local Existence for the Generalized Navier-Stokes-Maxwell Equations

Abstract

In this paper, we establish the local existence for the generalized Navier-Stokes-Maxwell system with the fractional velocity dissipative term $Λ^{2α}u$ and fractional magnetic dissipative term $Λ^{2β}B.$ Moreover, we establish the global existence of strong solutions to this generalized model.