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SUMMARY:Swarming rigid bodies: geometry and topology - Pierre Degond (CNRS
  (Centre national de la recherche scientifique))
DTSTART:20230808T080000Z
DTEND:20230808T090000Z
UID:TALK201463@talks.cam.ac.uk
DESCRIPTION:Collective dynamics in systems of self-propelled particles has
  stimulated intense mathematical research in the recent years. Many differ
 ent models have been proposed but most of them rely on point particles. In
  practice\, particles often have more complex geometrical structures. Here
 \, we will consider particles as rigid bodies whose body attitude is descr
 ibed by an orthonormal frame. Particles tend to align their frame with tho
 se of their neighbours. A hydrodynamic model will be derived when the numb
 er of particles is large. It will be used to exhibit solutions having non-
 trivial topology. We will investigate whether topology provides enhanced s
 tability against perturbations\, as observed in other systems such as topo
 logical insulators. This talk is based on recent results issued from colla
 borations with Antoine Diez\, Amic Frouvelle\, Sara Merino-Aceituno\, Ming
 ye Na and Ariane Trescases.
LOCATION:Seminar Room 1\, Newton Institute
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