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SUMMARY:Interpolation Inequalities and Pattern Formation in Variational Mo
 dels for Membranes [Oberseminar Analysis]
DTSTART:20260423T120000Z
DTEND:20260423T140000Z
DTSTAMP:20260421T031000Z
UID:indico-event-1246@math-events.uni-bonn.de
DESCRIPTION:Speakers: Anastasija Pesic (Weierstrass Institute Berlin)\n\nI
 n this talk\, we will discuss pattern formation in variational models for 
 biological membranes\, motivated by lipid raft formation. As a starting po
 int\, we consider an approximation of a two-phase Canham-Helfrich function
 al and present a scaling law for the minimal energy.A central ingredient i
 n the lower bound is a class of new nonlocal and nonlinear interpolation i
 nequalities\, which control fractional Sobolev seminorms in terms of Modic
 a-Mortola-type energies.Motivated by the scaling law\, we then study a rel
 ated functional with competing local and nonlocal terms and indicate resul
 ts and open questions concerning the structure of minimizers.The talk is b
 ased on joint work with Barbara Zwicknagl and Janusz Ginster\, and on ongo
 ing work with Sara Daneri and Eris Runa. \n\nhttps://math-events.uni-bonn
 .de/event/1246/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1246/
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