Séminaire Jeunes chercheurs (Guillaume Soenen, jeudi 1er octobre 2026)

La prochaine séance du séminaire Jeunes chercheurs du CEREMADE aura lieu le jeudi 1er septembre 2026 à 17h en salle A709. Nous aurons le plaisir d'écouter Guillaume Soenen (CEREMADE), qui nous parlera de

Hydrodynamic limit and free boundary equation.

Abstract
In this talk, we study an interacting particle system. The particles of this system are located on the half-line, their velocities evolve according to Langevin dynamics and a pressure force acts on the last particle. The goal is to determine the hydrodynamic limit of this system. The particles are confined only by this pressure force : it implies that the limit density should satisfy a free-boundary partial differential equation. This is the main difficulty of this problem. After presenting the model and the tools used to study it, I will explain how to deal with the free boundary in order to complete the proof.