Mathematical and Physical Properties of an Extended Thermodynamics Multi-temperature Model for the Description of Gas Mixtures

In this paper, we analyze some mathematical and physical properties of a 13-moment extended thermodynamics model for gas mixtures with the multi-temperature assumption and Maxwellian productions. Starting from the 1960s, this model was derived independently by many authors and it was applied to different physical problems. Here, we verify the validity of the Shizuta-Kawashima condition and others mathematical properties. Moreover, we describe the stationary heat transfer and the acceleration waves predicted by these equations.