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SUMMARY:The Mean-Field limit for hybrid models of collective motions with 
 chemotaxis - Thierry Paul (Laboratoire Jacques-Louis Lions (Université Pa
 ris 6))
DTSTART:20220114T112000Z
DTEND:20220114T122000Z
UID:TALK166711@talks.cam.ac.uk
DESCRIPTION:One study a general class of hybrid mathematical models of col
 lective motions of cells under the influence of chemical stimuli. The mode
 ls are hybrid in the sense that cells are discrete entities given by ODE\,
  while the chemoattractant is considered as a continuous signal which solv
 es a diffusive equation. For this model one proves the mean-field limit in
  the Wasserstein distance to a system given by the coupling of a Vlasov-ty
 pe equation with the chemoattractant equation. The approach and results ar
 e based on marginals of large number of individuals densities and provide 
 explicit bounds. In the monokinetic case new pressureless nonlocal Euler-t
 ype model with chemotaxis is derived.
LOCATION:Seminar Room 1\, Newton Institute
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