A Kinetic Equation for the Distribution of Interaction Clusters in Rarefied Gases
作者： Robert I. A. Patterson , Sergio Simonella , Wolfgang Wagner
DOI: 10.1007/S10955-017-1865-0
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摘要: We consider a stochastic particle model governed by an arbitrary binary interaction kernel. A kinetic equation for the distribution of clusters is established. Under some additional assumptions recursive representation solution found. For particular choices kernel (including Boltzmann case) several explicit formulas are obtained. These confirmed numerical experiments. The experiments also used to illustrate various conjectures and open problems.
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