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Seminar In the Analysis and Methods of PDE (SIAM PDE)
The COVID-19 pandemic and consequent social distancing call for online venues of research dissemination. This webinar will serve as a way to recognize achievements in our area, and it will be expected to help promoting the standing of both SIMA and APDE. Further, these webinars should be beneficial to mathematicians who are in relatively isolated places.

This webinar is intended to continue well beyond this social distancing period. Two type of webinars are planned:
(i) Colloquium-type webinars by outstanding speakers presenting a survey of results on a topic where critical progress was recently achieved (and not necessarily published in SIMA);
(ii) More focused seminar-like webinars based on some of the best articles accepted by SIMA.
More information can be found here: https://sinews.siam.org/Details-Page/seminar-in-the-analysis-and-methods-of-pde

Date: October 1, 2020

Speaker: Laure Saint-Raymond, École Normale Supérieure de Lyon

Title: Fluctuation theory in the Boltzmann-Grad limit

Abstract: In this talk, I will discuss a long term project with T. Bodineau, I. Gallagher and S. Simonella on hard-sphere gases. In the low density limit, the empirical density obeys a law of large numbers and the dynamics is governed asymptotically by the (kinetic) Boltzmann equation. Deviations from this behavior are described by dynamical correlations, which we can fully characterize for short times. This provides both a fluctuating Boltzmann equation and large deviation asymptotics.
Oct 1, 2020 11:30 AM
Nov 5, 2020 11:30 AM
Dec 3, 2020 11:30 AM
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Laure Saint-Raymond
@École Normale Supérieure de Lyon
Laure Saint-Raymond is currently a professor at the École Normale Supérieure de Lyon and a Fellow of the Institut Universitaire de France. Before, she has been a professor at the Université de Paris 6 – Pierre et Marie Curie. Her main contributions concern the transition between atomistic and continuous models for gas dynamics through rigorous mathematical analysis. Laure Saint-Raymond has obtained major results concerning the asymptotic theory of the Boltzmann equation in kinetic theory of gases. She has also studied problems of scale separation in the context of geophysical flows, especially for the wind-driven oceanic dynamics. She has been awarded many prizes, among which the SIAG/APDE Prize in 2006, joint with François Golse, the Prize of the European Mathematical Society in 2008, the Ruth Lyttle Satter Prize of the American Mathematical Society in 2009, the Fermat Prize in 2015 and the Bôcher Memorial Prize in 2020.