Solutions of the Boltzmann Equation for the Spatially Homogeneous Mixture of Maxwellian Gases

Using the moment method, the general solution of the nonlinear Boltzmann equation for the spatially uniform binary mixture of Maxwellian gases for isotropic initial conditions is obtained in Laguerre series. Its general properties and asymptotic behaviors are investigated. For the mixture with arbitrary parameters, a class of similarity solutions is derived. Two BKW solutions for the isotropic scattering model first found by Krook and Wu, are extended to including nonisotropic scattering models.