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SUMMARY:Regularity of local minimizers of the interaction energy via obsta
 cle problems. - Carrillo\, J (Imperial College London)
DTSTART:20140604T130000Z
DTEND:20140604T140000Z
UID:TALK52851@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Local minimizers of the interaction energy present a very rich
  structure. We show that if the repulsion at the origin is strong enough b
 ut integrable\, then the local minimizers are in fact regular\, at least b
 ounded probability densities\, and they satisfy an implicit obstacle probl
 em. This is the key to establish also uniqueness of global minimizers upto
  translations in some particular case. This is a work in collaboration wit
 h M. Delgadino and A. Mellet.\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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