4 papers
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…
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,…