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SUMMARY:Kinetic description and connectivity of old and new models of floc
 king - Tadmor\, E (Maryland)
DTSTART:20100909T080000Z
DTEND:20100909T090000Z
UID:TALK26070@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We introduce a new particle-based model for flocking and we sh
 ow that\, as with the Cucker-Smale model\, flocking occurs when pairwise l
 ong range interactions are sufficiently strong. Next\, we derive a Vlasov-
 type kinetic model for these particle models and we inquire about their ti
 me-asymptotic flocking behavior for compactly supported initial data and t
 he connectivity of their underlying graph. Finally\, we introduce a hydrod
 ynamic descriptions of flocking based on the kinetic models and show flock
 ing behavior without closure of higher moments.
LOCATION:Seminar Room 1\, Newton Institute
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