WIAS Preprint No. 28, (1992)

Stochastic systems of particles with weights and approximation of the Boltzmann equation. The Markov process in the spatially homogeneous case.


Authors

  • Wagner, Wolfgang

2010 Mathematics Subject Classification

  • 60K35 76P05 82C40

Keywords

  • stochastic particle systems, convergence of empirical measures, Boltzmann equation

DOI

10.20347/WIAS.PREPRINT.28

Abstract

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" ([4]).

Appeared in

  • Stochastic Anal. Appl., 12 (1994), pp. 639--659

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