Diffusion Asymptotic of a Kinetic Model for Gas-Particle Mixture with Energy Exchange

This lecture presents a non-isothermal kinetic model describing interactions between dust particles and gas molecules, delivered by Frédérique Charles at the Centre International de Rencontres Mathématiques in Marseille, France. Explore how gas-dust collisions follow a diffuse reflection mechanism at the surface of dust particles, with particle surface temperature treated as a function of time and space satisfying a transport-like equation. Discover the model's key features: conservation of total system energy and explicit entropy expression. Follow the formal diffusive asymptotics for a two-species Maxwell-Stefan model with multiple small parameters approaching zero. The 45-minute talk represents joint work with Annamaria Massimini and Francesco Salvarani, recorded during the thematic meeting "Kinetic theory and fluid mechanics: couplings, scalings and asymptotics" on March 27, 2025. Access this video and other mathematical talks on CIRM's Audiovisual Mathematics Library, featuring helpful functionalities like chapter markers, keywords, enriched content with abstracts and bibliographies, and multi-criteria search options.