Structure of transport linear systems in dilute isotropic gas mixtures

We consider the linear systems associated with the evaluation of transport coefficients in dilute isotropic gas mixtures and corresponding to the first-order Enskog expansion. We obtain the structure and the mathematical properties of these systems directly from the properties of the integral collision Boltzmann operator and the variational framework used for its approximation. Using these structure properties, all the transport coefficients can be expanded into convergent series. These asymptotic expansions are particularly relevant to computational models in a wide range of practical applications.