Exponential moments for monatomic gas mixtures with long range interactions

This document presents a priori estimates related to propagation and generation of statistical moments, algebraic and exponential, for solutions of the homogeneous Boltzmann equation for monoatomic gas mixtures with long range interactions and hard potentials. In the analysis, potentials rates and scattering singularities between mixtures can differ and the results match the best exponential moment propagation interval and moment generation rates known for the scalar equation case.