On the derivation of the Boltzmann equation: fluctuations and large deviations

Abstract: It has been known since Lanford’s result in 1974 that in the limit when the number of particles goes to infinity in a rarefied gas, the one-particle distribution satisfies the Boltzmann equation, at least for a short time. In this talk we shall analyze the fluctuations, and large deviations around that limit. This corresponds to joint works with Thierry Bodineau, Laure Saint-Raymond and Sergio Simonella.

mathematical physicsanalysis of PDEsdynamical systems

Audience: researchers in the topic

Dynamical systems and PDEs

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