A kinetic equation for the distribution of interaction clusters in
rarefied gases

We consider a stochastic particle model governed by an arbitrary binary interaction kernel. A kinetic equation for the distribution of interaction clusters is established. Under some additional assumptions a recursive representation of the solution is found. For particular choices of the interaction kernel (including the Boltzmann case) several explicit formulas are obtained. These formulas are confirmed by numerical experiments. The experiments are also used to illustrate various conjectures and open problems.

URI

https://doi.org/10.34657/1837
https://oa.tib.eu/renate/handle/123456789/2324

Citation

Patterson, R. I. A., Simonella, S., & Wagner, W. (2017). A kinetic equation for the distribution of interaction clusters in rarefied gases (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik. https://doi.org//10.20347/WIAS.PREPRINT.2365

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Mathematik
WIAS Preprints

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