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UID:20260601T044309EDT-6592kai263@132.216.98.100
DTSTAMP:20260601T084309Z
DESCRIPTION:Title: Nonlinear cross-diffusion systems: an optimal transport 
 approach.\n\nAbstract:\n\nIn this talk we will present a degenerate cross-
 diffusion model which involves two densities with two different drift velo
 cities. A general framework will be introduced based on its gradient flow 
 structure in the Wasserstein space to derive a notion of discrete-time sol
 utions. Its continuum limit\, due to the possible mixing of the densities\
 , only solves a weaker version of the original system. In one space dimens
 ion\, where the densities are guaranteed to be segregated\, a stable inter
 face appears between the two densities\, and a stronger convergence result
 \, in particular derivation of a standard weak solution to the system\, is
  available. We also study the incompressible limit of the system\, which a
 ddresses transport under a height constraint on the total density. In one 
 space dimension we show that the problem leads to a two-phase Hele-Shaw ty
 pe flow. The talk is based on a joint work with Inwon Kim (UCLA).\n
DTSTART:20170918T200000Z
DTEND:20170918T210000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Alpár Mészáros  (UCLA)
URL:/mathstat/channels/event/alpar-meszaros-ucla-27021
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