No 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.

For an exactly soluble classical spin model with tong-range inhomogeneous coupling it is proved that in the absence of external magnetic field the free energy is a C ~~ function of the temperature at the critical point.

No abstract