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math.AP2023
Partial regularity in time for the space-homogeneous Boltzmann equation with very soft potentials
François Golse, Cyril Imbert, Luis Silvestre
We prove that the set of singular times for weak solutions of the homogeneous Boltzmann equation with very soft potentials constructed as in Villani (1998) has Hausdorff dimension…
math-ph2023
Validité de la théorie cinétique des gaz: au-delà de l'équation de Boltzmann [d'après T. Bodineau, I. Gallagher, L. Saint-Raymond, S. Simonella]
François Golse
Obtaining a rigorous justification of the kinetic theory of gases from Newton's second law of dynamics for a large number of identical spheres interacting by elastic binary collisi…
math-ph2023
Quantum Optimal Transport: Quantum Couplings and Many-Body Problems
François Golse
This text is a set of lecture notes for a 4.5-hour course given at the Erdös Center (Rényi Institute, Budapest) during the Summer School "Optimal Transport on Quantum Structures" (…