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Abstract: Using the main ideas of Tanaka [18], the measure solution fP t g t of a 2-dimensional spatially homogeneous Boltzmann equation of Maxwellian molecules without cuto is related to a Poisson-driven nonlinear stochastic di erential equation. Using this tool and a generalized law of large numbers, we present two ways to prove the convergence of the empirical measure associated with an interacting particle system to this measure solution of the Boltzmann equation. Then we give numerical results. We ... (Update)
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BibTeX entry: (Update)
@misc{ fournier-montecarlo,
author = "N. Fournier and et al.",
title = "Monte-Carlo approximations and fluctuations for 2D Boltzmann equations
without cutoff",
url = "citeseer.ist.psu.edu/fournier00montecarlo.html" }
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