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SUMMARY:Well-posedness of an integro-differential model for active Brownia
 n particles
DTSTART:20230711T131500Z
DTEND:20230711T141500Z
DTSTAMP:20260504T203800Z
UID:indico-event-10046@indico.math.cnrs.fr
DESCRIPTION:Speakers: Simon Michael Schulz (University of Wisconsin-Madiso
 n)\n\nThe focus of this talk will be to present recent results concerning 
 macroscopic models for active Brownian particles with repulsive interactio
 ns\; consisting of advection-diffusion processes both in particle position
  and orientation. In particular\, we establish the existence and uniquenes
 s for a model described by a semilinear parabolic equation with a nonlinea
 r active drift term. This nonlinear term is nonlocal\, as it depends on an
  angle-independent overall particle density\; the structure of the PDE is 
 similar to some variants of the Vlasov equation in kinetic theory. We will
  also briefly touch upon current works in progress related to degenerate m
 odels and quantitative regularity methods.\n\nhttps://indico.math.cnrs.fr/
 event/10046/
LOCATION:Fokko du Cloux (Bâtiment Braconnier\, La Doua)
URL:https://indico.math.cnrs.fr/event/10046/
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