3:00–4:20 pm
Eckhart Hall Room 202 5734 S University Ave
Hilbert's Sixth Problem: From Particles to Waves
Abstract
Hilbert’s Sixth Problem concerns systems in statistical physics and
kinetic theory that have huge (N~10^23) degrees of freedom. The goal is
to rigorously derive the macroscopic laws of motion, from these
microscopic systems, in the kinetic limit N->∞.
Such systems arise in both classical particle and quantum/wave settings,
leading to the classical kinetic theory and the modern theory of wave
turbulence. In this talk I will review the state of art of Hilbert’s
Sixth Problem in both settings, including recent joint works with Zaher
Hani (Michigan) that lead to major advancements in the wave turbulence
setting.
