BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jose A. Carrillo (University of Oxford) DTSTART:20201130T140000Z DTEND:20201130T150000Z DTSTAMP:20260423T021247Z UID:SNPDEA/13 DESCRIPTION:Title: Nonlinear Aggregation-Diffusion Equations: Gradient Flows\, Free Energies and Phase Transitions\nby Jose A. Carrillo (University of Oxford) as p art of "Partial Differential Equations and Applications" Webinar\n\n\nAbst ract\nThe main goal of this talk is to discuss the state-of-the-art in und erstanding the phenomena of phase transitions for a range of nonlinear Fok ker-Planck equations with linear and nonlinear diffusion. They appear as n atural macroscopic PDE descriptions of the collective behavior of particle s such as Cucker-Smale models for consensus\, the Keller Segel model for c hemotaxis\, and the Kuramoto model for synchronization. We will show the e xistence of phase transitions in a variety of these models using the natur al free energy of the system and their interpretation as natural gradient flow structure with respect to the Wasserstein distance in probability mea sures. We will discuss both theoretical aspects as well as numerical schem es and simulations keeping those properties at the discrete level.\n LOCATION:https://researchseminars.org/talk/SNPDEA/13/ END:VEVENT END:VCALENDAR