  The Navier-Stokes-Maxwell-Stefan system describes the dynamics of an
incompressible gaseous mixture in isothermal condition. In this paper we set up
an artificial compressibility type approximation. In particular we focus on the
existence of solution for the approximated system and the convergence to the
incompressible case. The existence of the approximating system is proved by
means of semidiscretization in time and by estimating the fractional time
derivative.
