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SUMMARY:A degenerate incompatible two-well problem related to quadrature d
 omains and Hele-Shaw flows [Oberseminar Analysis]
DTSTART:20261022T121500Z
DTEND:20261022T141500Z
DTSTAMP:20261102T045100Z
UID:indico-event-1670@math-events.uni-bonn.de
CONTACT:jschroe2@uni-bonn.de
DESCRIPTION:Speakers: Noah Piemontese-Fischer (University of Bonn)\n\nIn t
 his talk\, we study an incompatible two-well problem that exhibits some su
 rprising flexibility properties. We consider two variants of the problem: 
 one without gauge invariance and one with SO(2) invariance. Upon taking a 
 glimpse at the relaxations of the energies\, we discuss a connection betwe
 en these variational problems and the theory of quadrature domains. This l
 ink allows us to construct minimizers with finite surface energy via tools
  from potential theory and free-boundary problems\, including partial bala
 yage\, mother bodies and a squeezing-type Hele-Shaw flow. The talk is base
 d on ongoing joint work with Lennart Machill and Angkana Rüland.\n\nhttps
 ://math-events.uni-bonn.de/event/1670/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/1670/
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