Séminaire Jeunes chercheurs (Roméo Taboada, jeudi 23 janvier 2025)

La prochaine séance du séminaire Jeunes chercheurs du CEREMADE aura lieu le jeudi 23 janvier 2025 à 17h en salle A707. Nous aurons le plaisir d'écouter Roméo TABOADA (Université Paris-Saclay), qui nous parlera de

Exponential energy decay for wave equations

Abstract
Stabilization is one of the main concerns in control theory : its goal is to bring back perturbed systems to equilibrium states. In this talk, we will study the dampening of a sound using acoustic foam. We will show that, despite being a problem about wave mechanics, its behaviour is actually ruled by geometrical optics. After showing this equivalence, we will see the fundamental role played by resolvent estimates, hinting at a method that can be used in many other fields where "scattering" is involved : quantum mechanics, general relativty, dynamical systems or quantum chemistry.