Grunfeld C. P., Marinescu D.
On the  Numerical Simulation of a Class of Reactive Boltzmann Type Equations
(72.9K, LaTeX)
(72K, LaTeX)

ABSTRACT.  We study the numerical approximation of solutions to a class of nonlinear
kinetic equations for reacting gas mixtures. We first prove the existence and
uniqueness of solutions and then provide a time-discretized version of the
equations. We finally obtain a probabilistic-convergent, numerical scheme by
extending simulation techniques for the solutions of the classical Boltzmann
equation.