The irreversibility in gas dynamics, a matter of probability

  • Laure Saint-Raymond (Ecole Normale Supérieur, Paris)
Felix-Klein-Hörsaal Universität Leipzig (Leipzig)


The goal of this lecture is to present a derivation of the Boltzmann equation starting from the hamiltonian dynamics of particles in the Boltzmann-Grad limit, i.e. when the number of particles N →∞ and their size ϵ → 0 with Nϵ2 = 1. We will especially discuss the origin of irreversibility and the phenomenon of relaxation towards equilibrium, which are apparently paradoxical properties of the limiting dynamics.

16.10.08 25.10.23

Ladyzhenskaya-Vorlesung Leipzig

Universität Leipzig Felix-Klein-Hörsaal

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail