Nov 16 – 19, 2021
Polytech Lille
Europe/Paris timezone

Hydrodynamic limit for the inelastic Boltzmann equation

Nov 17, 2021, 2:00 PM
Amphithéatre Migeon (Polytech Lille)

Amphithéatre Migeon

Polytech Lille

Plenary talk


Isabelle Tristani


In this talk, we are interested in the problem of rigorously deriving hydrodynamic equations from the Boltzmann equation for inelastic hard spheres with small inelasticity. One of the main difficulty is to identify the relation between the restitution coefficient (which quantifies the energy loss at the microscopic level) and the Knudsen number that allows us capture nontrivial hydrodynamic behavior. In this (nearly elastic) regime, we prove a result of convergence of the inelastic Boltzmann equation towards some hydrodynamic system which is an incompressible Navier-Stokes-Fourier system with self-consistent forcing terms. This is a joint work with Ricardo Alonso and Bertrand Lods.

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