High-Degree Collisional Moments of Inelastic Maxwell Mixtures-Application to the Homogeneous Cooling and Uniform Shear Flow States.

The Boltzmann equation for -dimensional inelastic Maxwell models is considered to determine the collisional moments of the second, third and fourth degree in a granular binary mixture. These collisional moments are exactly evaluated in terms of the velocity moments of the distribution function of each species when diffusion is absent (mass flux of each species vanishes). The corresponding associated eigenvalues as well as cross coefficients are obtained as functions of the coefficients of normal restitution and the parameters of the mixture (masses, diameters and composition).