The Boltzmann-Grad limit for the Lorentz gas with a Poisson distribution of obstacles

DOI10.3934/KRM.2022001zbMath1497.82017arXiv2111.15270OpenAlexW4226170371MaRDI QIDQ2087589

François Golse

Publication date: 21 October 2022

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.15270

zbMATH Keywords

Lorentz gasBoltzmann equationkinetic theoryPoisson point processBoltzmann-Grad limit

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Transport processes in time-dependent statistical mechanics (82C70) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Boltzmann equations (35Q20)

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• Problèmes aux limites pour les équations aux dérivées partielles du premier ordre à coefficients réels; théorèmes d'approximation; application à l'équation de transport

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