Title: From particle systems to the Boltzmann equation and fluid mechanics
Abstract: The question of obtaining fluid mechanics equations from deterministic systems of interacting particles satisfying Newton’s laws, in the limit when the number of particles goes to infinity, was raised by Hilbert in his sixth problem. In this talk we shall present some progress in this program, where linear models (heat, acoustics, Stokes-Fourier) have been derived. We shall explain the role of the Boltzmann equation in the limiting process, as well as the appearance of irreversibility.
This corresponds to joint works with Thierry Bodineau, Laure Saint-Raymond and Sergio Simonella.
Isabelle Gallagher (ENS Paris, France)
French mathematician working on partial differential equations such as the Navier–Stokes equations, wave equation, and Schrödinger equation, as well as harmonic analysis of the Heisenberg group. She earned her Ph.D. from Pierre and Marie Curie University in 1998. Her dissertation, supervised by Jean-Yves Chemin, concerned fluid dynamics. Worked at the French Centre national de la recherche scientifique and then, in 2004, became a professor at Paris Diderot University. In 2008, the French Academy of Sciences awarded her the Prix Paul Doistau–Émile Blutet. Was an invited speaker at the International Congress of Mathematicians in 2014 and won the CNRS Silver Medal in 2016.