Abstract
An approximation procedure for the Boltzmann equation based on random choices of collision pairs from a fixed velocity set and on discrete velocity models is designed. In a suitable limit, the procedure is shown to converge to the time-discretized and spatially homogeneous Boltzmann equation.
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Illner, R., Wagner, W. A random discrete velocity model and approximation of the Boltzmann equation. J Stat Phys 70, 773–792 (1993). https://doi.org/10.1007/BF01053594
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DOI: https://doi.org/10.1007/BF01053594