Quantitative Uniform Propagation of Chaos for Maxwell Molecules

Explore a 47-minute lecture on quantitative uniform propagation of chaos for Maxwell molecules, presented by Joaquin Fontbona at the Hausdorff Center for Mathematics. Delve into the proof of propagation of chaos at explicit, mild polynomial rates in Wasserstein distance W2 for Kac's N-particle system associated with the spatially homogeneous Boltzmann equation for Maxwell molecules. Discover novel, optimal transport-based probabilistic coupling techniques developed to handle genuine binary-jump interactions, and learn about a recent stabilization result for the particle system obtained by M. Rousset. Examine the establishment of a uniform-in-time estimate of order almost N^(-1/3) for W2^2 under suitable moments assumptions on the initial distribution. Gain insights into this joint work with Roberto Cortez, presented as part of the Hausdorff Trimester Program on Kinetic Theory.

Joaquin Fontbona: Quantitative uniform propagation of chaos for Maxwell molecules