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SUMMARY:Local stability of Dirac masses for a kinetic model of alignment o
 n the sphere - Amic Frouvelle\, Université de Paris Dauphine
DTSTART:20160321T160000Z
DTEND:20160321T170000Z
UID:TALK64610@talks.cam.ac.uk
CONTACT:Amit Einav
DESCRIPTION:We consider a kinetic version of a model of alignment of parti
 cles : two particles are chosen at random and collide\, their new orientat
 ion corresponding to the « average » of their initial orientations. When
  the initial density is sufficiently close to a Dirac mass\, we prove that
  an energy linked to the W₂ distance is decreasing. We are able to overp
 ass the lack of conservation of the center of mass and get the convergence
  of the density towards a Dirac mass\, with an optimal exponential rate. T
 he main tools are global and local estimations of the error in the spheric
 al version of Apollonius' formula (joint work with Pierre Degond and Gaël
  Raoul).
LOCATION:CMS\, MR13
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