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SUMMARY:A Variational model involving nonlocal interactions of Wasserstein
type
DTSTART:20240321T160000Z
DTEND:20240321T170000Z
DTSTAMP:20240529T214400Z
UID:indico-event-261@events.dm.unipi.it
DESCRIPTION:Speakers: Ihsan Topaloglu (Virginia Commonwealth University\,
USA)\n\nIn this talk I will consider a variational problem which appears i
n models of bilayer membranes. After introducing and deriving the model I
will establish the existence of volume-constrained minimizers where the en
ergy functional consists of two competing terms: a surface energy term pen
alizing transitions between sets and a nonlocal energy involving the Wasse
rstein distance between equal volume sets. In the second part of the talk
I will consider the maximization of the minimum Wasserstein distance betwe
en two given sets\, and show that this maximum is obtained by a micella. T
hese results are drawn from joint works with Almut Burchard\, Davide Caraz
zato\, Michael Novack\, and Raghavendra Venkatraman.\n\nhttps://events.dm.
unipi.it/event/261/
LOCATION:Aula Riunioni (Department of Mathematics)
URL:https://events.dm.unipi.it/event/261/
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