Communications in Mathematical Sciences
Volume 2 (2004)
Supplemental Issue 1
On a discrete Boltzmann-Smoluchowski equation with rates bounded in the velocity variables
Pages: 55 – 63
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.
Boltzmann equations, Smoluchowski equations, Jump processes
2010 Mathematics Subject Classification