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This document presents a priori estimates related to statistical moments andintegrability properties for solutions of systems of monatomic gas mixturesmodelled with the homogeneous Boltzmann equation with long range interactionsfor hard potentials. We detail the conditions for the generation andpropagation of polynomial and exponential moments, and the integrability inLebesgue spaces.

Statistical moments and integrability properties of monatomic gas mixtures with long range interactions