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SUMMARY:Asymptotic dynamics for the parabolic–elliptic Keller–Segel sy
 stem
DTSTART:20260602T120000Z
DTEND:20260602T130000Z
DTSTAMP:20260614T025300Z
UID:indico-event-16681@indico.math.cnrs.fr
DESCRIPTION:Speakers: Federico Buseghin (Université Paris Cergy)\n\nThe p
 arabolic–elliptic Keller–Segel equation in two dimensions provides a f
 undamental example of a critical aggregation–diffusion model describing 
 chemotactic aggregation and exhibiting a competition between diffusion and
  concentration. The behavior of solutions strongly depends on the total ma
 ss with a critical threshold separating qualitatively different regimes. I
 n this talk I will first review some classical and recent results on the a
 symptotic dynamics in the subcritical and supercritical regimes. I will th
 en focus on the critical mass case where solutions exist globally but may 
 still exhibit concentration phenomena at infinite time. The main result pr
 esented is a recent joint work with Charles Collot (CY Cergy Paris Univers
 ité)\, where we classify the long-time dynamics of solutions with critica
 l mass and finite second moment. I will also discuss some of the key ideas
  underlying the proof.\n\nhttps://indico.math.cnrs.fr/event/16681/
LOCATION:Fokko (ICJ)
URL:https://indico.math.cnrs.fr/event/16681/
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