5 papers
Spectral gaps for mean-field Coulomb gases
Simon Becker, Angeliki Menegaki
We prove a Poincaré inequality, uniform in the particle number, for repulsive (one-component) Coulomb gases in dimensions , with inverse temperature that is allowed to…
Global Well-Posedness near Rayleigh-Jeans Equilibria for the Cubic NLS Wave Kinetic Equation
Miguel Escobedo, Angeliki Menegaki
We study the dynamics of the kinetic wave equation associated to the three dimensional Schrödinger equation close to Rayleigh-Jeans equilibria. We first prove that the linearised o…
A review on the kinetic theory of oscillator chains
Pierre Germain, Joonhyun La, Angeliki Menegaki
We review the kinetic theory of one-dimensional nonlinear oscillator chains, of which the most famous example is the Fermi-Pasta-Ulam-Tsingou equation. We provide detailed, though…
A consistency-stability approach to scaling limits of zero-range processes
Daniel Marahrens, Angeliki Menegaki, Clément Mouhot
We propose a simple quantitative method for studying the hydrodynamic limit of interacting particle systems on lattices. It is applied to the diffusive scaling of the symmetric Zer…
Entropy maximizers for kinetic wave equations set on tori
Miguel Escobedo, Pierre Germain, Joonhyun La +1
We consider the kinetic wave equation, or phonon Boltzmann equation, set on the torus (physical system set on the lattice). We describe entropy maximizers for fixed mass and energy…