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UID:20251122T045956EST-3165CrZKUF@132.216.98.100
DTSTAMP:20251122T095956Z
DESCRIPTION:Title: Equilibria in energy landscapes with nonlinear diffusion
  and nonlocal interaction\n\nAbstract: We study interacting particles beha
 ving according to a reaction-diffusion equation with nonlinear diffusion a
 nd nonlocal attractive interaction. This class of partial differential equ
 ations has a very nice gradient flow structure that allows us to make link
 s to homogeneous functionals and variations of well-known functional inequ
 alities. Depending on the nonlinearity of the diffusion\, the choice of in
 teraction potential and the space dimensionality\, we obtain different reg
 imes. Our goal is to understand better the asymptotic behavior of solution
 s in each of these regimes\, starting with the fair-competition regime whe
 re attractive and repulsive forces are in balance. This is joint work with
  José A. Carrillo and Vincent Calvez.\n
DTSTART:20171127T210000Z
DTEND:20171127T220000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Franca Hoffmann\, Caltech
URL:/mathstat/channels/event/franca-hoffmann-caltech-2
 82548
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