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SUMMARY:Active Brownian Particles and Chemotaxis - Oscar de Wit (Universit
 y of Cambridge)
DTSTART:20220622T120000Z
DTEND:20220622T130000Z
UID:TALK175358@talks.cam.ac.uk
DESCRIPTION:The Keller-Segel model comes from a microscopic model where th
 e chemical gradient acts a drift for a Brownian motion. The macroscopic re
 sulting PDE (the Keller-Segel equation) is known to have some blow up prop
 erties\, i.e. the model is quite unstable. In this talk we consider a diff
 erent model where the particles experience a torque from the chemical grad
 ient instead. We discuss some aspects of the mean field limit\, hard-spher
 e interactions\, PDE existence\, global in time existence\, linear (in)sta
 bility and nonlinear stability when the chemical is fixed.
LOCATION:Seminar Room 2\, Newton Institute
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