8 citations · 16 across the 14 of their papers we have counts for
15 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…
Stability of Rayleigh-Jeans equilibria in the kinetic FPU equation
Pierre Germain, Joonhyun La, Angeliki Menegaki
We study the nonlinear dynamics of the kinetic wave equation associated to the FPU problem and prove stability of the non-singular Rayleigh-Jeans equilibria. The lack of a spectral…
Instability of singular equilibria of a wave kinetic equation
Miguel Escobedo, Angeliki Menegaki
We consider the singular Rayleigh-Jeans equilibrium of the -waves kinetic turbulence equation for the three dimensional Schrödinger equation. We first show the formation in fini…
Spectral analysis and phase transitions for long-range interactions in harmonic chains of oscillators
Simon Becker, Angeliki Menegaki, Jiming Yu
We consider chains of harmonic oscillators in two dimensions coupled to two Langevin heat reservoirs at different temperatures - a classical model for heat conduction introduce…
Properties of Non-Equilibrium Steady States for the non-linear BGK equation on the torus
Josephine Evans, Angeliki Menegaki
We study the non-linear BGK model in 1d coupled to a spatially varying thermostat. We show existence, local uniqueness and linear stability of a steady state when the linear coupli…
-stability near equilibrium for the waves kinetic equation
Angeliki Menegaki
We consider the four waves spatial homogeneous kinetic equation arising in wave turbulence theory. We study the long-time behaviour and existence of solutions around the Rayleigh-J…
Global smooth solutions for triangular reaction-cross diffusion systems
Jessica Guerand, Angeliki Menegaki, Ariane Trescases
For a class of reaction cross-diffusion systems of two equations with a cross-diffusion term in the first equation and with self-diffusion terms, we prove that the unique local smo…
The optimal spectral gap for regular and disordered harmonic networks of oscillators
Simon Becker, Angeliki Menegaki
We consider one-dimensional chains and multi-dimensional networks of harmonic oscillators coupled to two Langevin heat reservoirs at different temperatures. Each particle interacts…
Existence of a Non-Equilibrium Steady State for the Non-linear BGK equation on an interval
Josephine Evans, Angeliki Menegaki
We show existence of a non-equilibrium steady state for the one-dimensional, non-linear BGK model on an interval with diffusive boundary conditions. These boundary conditions repre…
Quantitative Rates of Convergence to Non-Equilibrium Steady State for a Weakly Anharmonic Chain of Oscillators
Angeliki Menegaki
We study a -dimensional chain of weakly anharmonic classical oscillators coupled at its ends to heat baths at different temperatures. Each oscillator is subject to pinning p…
Spectral gap in mean-field -model
Simon Becker, Angeliki Menegaki
We study the dependence of the spectral gap for the generator of the Ginzburg-Landau dynamics for all \emph{-models} with mean-field interaction and magnetic field,…