On a Discrete Boltzmann-Smoluchowki Equation with Rates Bounded in the Velocity Variables

Abstract

Consider a spatially homogeneous infinite particle system in which coalescence and elastic collisions occur. The Boltzmann-Smoluchowski equation describes the evolution of the concentration f(t, m, v) of particles of mass m and velocity v at time t ≥ 0. Using a stochastic version of this equation, we give an exact simulation scheme and we study the asymptotics of solutions for large times.