Extended kinetic theory for gas mixtures in the presence of removal and regeneration effects (Q1072870)

The continuity system, governing the number \(densities\rho_ 1(t)\), \(\rho_ 2(t),...,\rho_ N(t)\) for a mixture of N gases of interacting particles, is first derived from the corresponding nonlinear Boltzmann system for the relevant distribution functions \(f_ 1({\bar \nu},t)\), \(f_ 2({\bar \nu},t),...,f_ N({\bar \nu},t)\), and then solved analytically in several meaningful cases for \(N=2\) on the basis of the theory of nonlinear second-order ordinary differential equations.