Speaker: Isabelle Gallagher
Title: On the dynamics of dilute gases
Abstract: The evolution of a gas can be described by different models depending on the scale of observation. A natural question, raised by Hilbert in his sixth problem, is whether these models provide consistent predictions. In the case of gases of hard spheres, Lanford showed in 1974 that the Boltzmann equation appears as a law of large numbers in the low density limit, at least for very short times. In this talk we will present Lanford's result, and some more recent extensions to understand fluctuations and large deviations around the Boltzmann equation. These are joint works with Thierry Bodineau, Laure Saint-Raymond and Sergio Simonella.