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Kinetic theory: Long time derivation of the Boltzmann equation

  • Annalaura Rebucci
  • Martina Zizza
E2 10 (Leon-Lichtenstein)

Abstract

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The Boltzmann equation describes the time evolution of the particle density of a collisional rarefied gas in the phase space. In this series of lectures we will outline the derivation of the Boltzmann kinetic equation from a microscopic system of hard spheres for arbitrarily long times. This is based on the recent work of Deng, Hani and Ma (https://arxiv.org/abs/2408.07818).

Keywords
Boltzmann Equation, Long-time derivation, Lanford's theorem, Cluster Expansion

Prerequisites
None
lecture
01.04.26 31.07.26

Regular lectures Summer semester 2026 Regular lectures Summer semester 2026

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Katharina Matschke

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