Apr 21, 2026
Kinetic theory for oscillator chains
Mathphys Analysis Seminar
Date: April 21, 2026 |
4:15 pm –
5:15 pm
Speaker:
Pierre Germain, University of Vienna
Location: Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)
Language:
English
A chain of oscillators is a Hamiltonian model set on the 1D lattice (Z), which should be thought as a model of a crystal: particles can interact with their neighbors, linearly and nonlinearly. The most prominent examples are the Fermi-Pasta-Ulam and the Toda equations. I will present the kinetic (Boltzmann-type) equation which can be derived from this model as well as its hydrodynamic limits. I will try to give an overview of the – mostly not rigorous – theory, but also emphasize recent mathematical progress.
