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SUMMARY:Pierre-Emmanuel Jabin (University of Maryland)
DTSTART:20201123T140000Z
DTEND:20201123T150000Z
DTSTAMP:20260423T052806Z
UID:SNPDEA/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SNPDEA/12/">
 Large stochastic systems of interacting particles</a>\nby Pierre-Emmanuel 
 Jabin (University of Maryland) as part of "Partial Differential Equations 
 and Applications" Webinar\n\n\nAbstract\nI will present some recent result
 s\, obtained with D. Bresch and Z. Wang\, on large stochastic many-particl
 e or multi-agent systems. Because such systems are conceptually simple but
  exhibit a wide range of emerging macroscopic behaviors\, they are now emp
 loyed in a large variety of applications from Physics (plasmas\, galaxy fo
 rmation...) to the Biosciences\, Economy\, Social Sciences.\n\nThe number 
 of agents or particles is typically quite large\, with 1020-1025 particles
  in many Physics settings for example and just as many equations. Analytic
 al or numerical studies of such systems are potentially very complex  lead
 ing to the key question as to whether it is possible to reduce this comple
 xity\, notably thanks to the notion of propagation of chaos (agents remain
 ing almost uncorrelated). \n\nTo derive this propagation of chaos\, we hav
 e introduced a novel analytical method\, which led to the resolution of tw
 o long-standing conjectures: \n\n- The quantitative derivation of the 2-di
 mensional incompressible Navier-Stokes system from the point vortices dyna
 mics\; \n\n- The derivation of the mean-field limit for attractive singula
 r interactions such as in the Keller-Segel model for chemotaxis and some C
 oulomb gases.\n
LOCATION:https://researchseminars.org/talk/SNPDEA/12/
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