BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Pierre-Emmanuel Jabin (University of Maryland) DTSTART:20200528T140000Z DTEND:20200528T145000Z DTSTAMP:20260423T035639Z UID:IMS/16 DESCRIPTION:Title: Lar ge stochastic systems of interacting particles\nby Pierre-Emmanuel Jab in (University of Maryland) as part of PDE seminar via Zoom\n\n\nAbstract\ nI will present some recent results\, obtained with D. Bresch and Z. Wang\ , on large stochastic many-particle or multi-agent systems. Because such s ystems are conceptually simple but exhibit a wide range of emerging macros copic behaviors\, they are now employed in a large variety of applications from Physics (plasmas\, galaxy formation...) to the Biosciences\, Economy \, Social Sciences...\n\nThe number of agents or particles is typically qu ite large\, with 10^{20}-10^{25} particles in many Physics settings for ex ample and just as many equations. Analytical or numerical studies of such systems are potentially very complex leading to the key question as to wh ether it is possible to reduce this complexity\, notably thanks to the not ion of propagation of chaos (agents remaining almost uncorrelated).\n\nTo derive this propagation of chaos\, we have introduced a novel analytical m ethod\, which led to the resolution of two long-standing conjectures:\n\n1 ) The quantitative derivation of the 2-dimensional incompressible Navier-S tokes system from the point vortices dynamics\;\n\n2) The derivation of th e mean-field limit for attractive singular interactions such as in the Kel ler-Segel model for chemotaxis and some Coulomb gases.\n\nHere is the post er of this talk: https://www.dropbox.com/s/ris7y3bbubt6xhu/PDE%20Seminar%2 08th.pdf?dl=0\nPlease visit our website to get more information: nguyenquo chung1241.wixsite.com/qhung/post/pde-seminar-via-zoom\n LOCATION:https://researchseminars.org/talk/IMS/16/ END:VEVENT END:VCALENDAR