Journal of Statistical Physics, Vol. 49, Nos. 3/4, 1987. p. 607-660.
A multispecies gas described by coupled nonlinear Boltzmann equations is studied as a dynamical system. Properties are determined of the N coupled nonlinear ODEs for the number densities obtained from the Boltzmann equations for the spatially uniform system of N species undergoing binary scattering, removal, and regeneration in the presence of an external force field and a reservoir of background gas. The physically realizable set Q, the nonnegative cone in the N-dimensional phase space of species number densities, is established as invariant under the flow...