Nonlinear Partial Differential Equations

Date: April 16, 2024

Time: 04:00AM - 05:00AM

Location: BLOC 302

Speaker: Angeliki Menegaki , Imperial College London

Title: Non-equilibrium Steady States in a BGK Model for Dilute Gases

Abstract: We study the BGK equation on the 1D torus coupled to a spatially inhomogeneous thermostat, which models heat transfer in gases and remains out of equilibrium due to the action of the thermostat. We study properties of stationary solutions, also known as non-equilibrium steady states. We will discuss the existence, uniqueness and linear dynamical stability of spatially inhomogeneous steady states. This is based on a joint work with Jo Evans (University of Warwick).