A. Ern et V. Giovangigli, STRUCTURE OF TRANSPORT LINEAR-SYSTEMS IN DILUTE ISOTROPIC GAS-MIXTURES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(1), 1996, pp. 485-492
We consider the linear systems associated with the evaluation of trans
port coefficients in dilute isotropic gas mixtures and corresponding t
o the first-order Enskog expansion. We obtain the structure and the ma
thematical properties of these systems directly from the properties of
the integral collision Boltzmann operator and the variational framewo
rk used for its approximation. Using these structure properties, all t
he transport coefficients can be expanded into convergent series. Thes
e asymptotic expansions are particularly relevant to computational mod
els in a wide range of practical applications.