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SUMMARY:Blow-up in multidimensional aggregation equations - Thomas Laurent
  (UCLA)
DTSTART:20100209T160000Z
DTEND:20100209T170000Z
UID:TALK23222@talks.cam.ac.uk
CONTACT:6743
DESCRIPTION:The aggregation equation is a continuum model for  interacting
  particle systems with attractive/repulsive pairwise interaction potential
  _K_.  It arises in a number of models for biological aggregation\, materi
 als science and granular media. The main phenomenon of interest is that\, 
 even with smooth initial data\, the solutions can concentrate mass in fini
 te time (i.e. a delta Dirac appears in the solution in finite time).  Usin
 g techniques from  fluid dynamics and from optimal transport\, we prove ri
 gorous results which explain how and under what circumstances these Dirac 
 delta functions appear.
LOCATION:MR14\, CMS
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