Kac's Process with Hard Potentials and a Moderate Angular Singularity

We investigate Kac's many-particle stochastic model of gas dynamics in the case of hard potentials with a moderate angular singularity, and show that the noncutoff particle system can be obtained as the limit of cutoff systems, with a rate independent of the number of particles \(N\). As conseq...

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Veröffentlicht in:	arXiv.org 2020-08
1. Verfasser:	Heydecker, Daniel
Format:	Artikel
Sprache:	eng
Schlagworte:	Boltzmann transport equation Gas dynamics Mathematics - Probability Singularities Stochastic models
Online-Zugang:	Volltext
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