BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Maria Bruna (University of Cambridge) DTSTART:20201023T070000Z DTEND:20201023T080000Z DTSTAMP:20260417T111251Z UID:BMD2020/1 DESCRIPTION:Title: Diffusion of finite-size particles and application to heterogeneous domain s\nby Maria Bruna (University of Cambridge) as part of Barcelona Mathe matical Days 2020\n\nLecture held in "Edifici de l'Institut d'Estudis Cata lans (IEC)". Carrer del Carme\, 47. Barcelona - Catalunya.\n\nAbstract\nIn this talk\, I will discuss nonlinear Fokker-Planck models describing diff usion processes with particle interactions. These models are motivated by the study of many-particle systems in biology and arise as the population- level description of a stochastic particle-based model. While mean-field a pproximations are valid for long-range interactions\, here I will show how to tackle the case of short-range interactions such as finite-size or exc luded-volume effects.\nIn the second part of the talk\, I will discuss how this method can be used to derive an effective transport equation in hete rogeneous domains\, such as porous media or crowded environments. A nice f eature of this approach is that it can easily account for macroscopic grad ients in porosity or crowding. I will compare this with an alternative hom ogenisation method for periodic porous media and show an industrial applic ation concerning filters.\n LOCATION:https://researchseminars.org/talk/BMD2020/1/ END:VEVENT END:VCALENDAR