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SUMMARY:Mean Field Approximation of PDEs -- a Case Study of 2D Fluids - Do
 minic Wynter (University of Cambridge)
DTSTART:20211111T100000Z
DTEND:20211111T110000Z
UID:TALK165688@talks.cam.ac.uk
CONTACT:Daniel Boutros
DESCRIPTION:We introduce mean field limits of interacting particles\, and 
 prove Dobrushin's '79 result on convergence to a limiting PDE for Lipschit
 z interaction forces. We explain connections with molecular chaos. We outl
 ine the current state of the art of mean field limits for singular forces\
 , especially systems of 2D vortices and of charged particles. We explain h
 ow large deviation principles allow us to obtain mean field limits for 2D 
 vortex systems.
LOCATION:Centre for Mathematical Sciences\, MR15
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