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SUMMARY:Marc Pegon (University of Lille)
DTSTART:20211105T130000Z
DTEND:20211105T140000Z
DTSTAMP:20260423T040107Z
UID:VCU_ALPS/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCU_ALPS/11/
 ">Large mass minimizers for Gamow's liquid drop model with sufficiently de
 caying kernels</a>\nby Marc Pegon (University of Lille) as part of VCU ALP
 S (Analysis\, Logic\, and Physics Seminar)\n\n\nAbstract\nIn this talk\, I
  will present Gamow's liquid drop model for the atomic nucleus\, some of i
 ts generalizations and results from the literature on the topic. Then I wi
 ll consider the case where the repulsive potential is given by a general k
 ernel which "decays fast enough" at infinity\, in the sense that it is int
 egrable and its first moment is finite. This problem rewrites as an isoper
 imetric problem where the classical perimeter is replaced by $P-\\gamma P_
 \\varepsilon$\, where $\\gamma$ is a positive constant and $P_\\varepsilon
 $ is a nonlocal functional converging to the perimeter as $\\varepsilon$ v
 anishes. I will discuss the existence and characterization of minimizers f
 or small $\\varepsilon$\, which corresponds to the large mass regime for t
 he original problem.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/11/
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