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We consider a non reactive two component gas mixture. In a macroscopicdescription of a gas mixture we expect four physical coefficientscharacterizing the physical behaviour of the gases to appear. These are thediffusion coefficient, the viscosity coefficient, the heat conductivity and thethermal diffusion parameter in the Navier-Stokes equations. We present aChapman-Enskog expansion of a kinetic model for gas mixtures by Klingenberg,Pirner and Puppo, 2017 that has three free parameters in order to capture threeof these four physical coefficients. In addition, we propose several possibleextensions to an ellipsoidal statistical model for gas mixtures in order tocapture the fourth coefficient.

Using a kinetic BGK model to determine transport coefficients of gas mixtures