Stochastic systems of particles with weights and approximation of the Boltzmann equation. The Markov process in the spatially homogeneous case.
- Wagner, Wolfgang
2010 Mathematics Subject Classification
- 60K35 76P05 82C40
- stochastic particle systems, convergence of empirical measures, Boltzmann equation
A class of stochastic systems of particles with variable weights is studied. The corresponding empirical measures are shown to converge to the solution of the spatially homogeneous Boltzmann equation. In a certain sense, this class of stochastic processes generalizes the "Kac master process" ().
- Stochastic Anal. Appl., 12 (1994), pp. 639--659