## Communications in Mathematical Sciences

### 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.

#### Article information

Source
Commun. Math. Sci., Volume 2, Supplemental Issue 1 (2004), 55-63.

Dates
First available in Project Euclid: 2 July 2004