BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Clément Mouhot (University of Cambridge) DTSTART:20200611T140000Z DTEND:20200611T145000Z DTSTAMP:20260423T035605Z UID:IMS/26 DESCRIPTION:Title: Uni fied approach to fluid approximation of linear kinetic equations with heav y tails\nby Clément Mouhot (University of Cambridge) as part of PDE s eminar via Zoom\n\n\nAbstract\nThe rigorous fluid approximation of linear kinetic equations was first obtained in the late 70s when the equilibrium distribution decays faster than polynomials. In this case the limit is a d iffusion equation. In the case of heavy tail equilibrium distribution (wit h infinite variance)\, the first rigorous derivation was obtained in 2011 in my joint paper with Mellet and Mischler\, in the case of scattering ope rators. The limit shows then anomalous diffusion\; it is governed by a fra ctional diffusion equation. Lebeau and Puel proved last year the first sim ilar result for Fokker-Planck operator\, in dimension 1 and assuming that the equilibrium distribution has finite mass. Fournier and Tardif gave an alternative probabilistic proof\, more general (covering any dimension and infinite-mass equilibrium distribution) but non-constructive. We present a unified quantitative PDE approach that obtains constructively the limit for Fokker-Planck operators in dimensions greater than 2\, but also recove rs and unifies the previous works. This is a joint work with Emeric Bouin (Université Paris-Dauphine).\n\nHere is the poster of this talk: https:// www.dropbox.com/s/gxyo8whzqnvco3h/The%2010th%20PDE%20Seminar.png?dl=0\n\nP lease visit our website to get more information: nguyenquochung1241.wixsit e.com/qhung/post/pde-seminar-via-zoom\n LOCATION:https://researchseminars.org/talk/IMS/26/ END:VEVENT END:VCALENDAR