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SUMMARY:Theresa Simon (University of Münster)
DTSTART:20220204T140000Z
DTEND:20220204T150000Z
DTSTAMP:20260423T040107Z
UID:VCU_ALPS/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCU_ALPS/19/
 ">Local minimizers of the interface length functional: An approach via loc
 al paired calibrations</a>\nby Theresa Simon (University of Münster) as p
 art of VCU ALPS (Analysis\, Logic\, and Physics Seminar)\n\n\nAbstract\nWe
  prove that partitions of open sets in the plane\, whose network of interf
 aces consists of finitely many straight segments only meeting in triple po
 ints with angles of 120 degrees\, locally minimize the interface area func
 tional with respect to L^1 perturbations of the partition. To this end\, w
 e will introduce a localized version of so-called paired calibrations\, wh
 ich were proposed by Lawlor and Morgan\, as well as Brakke\, as a means of
  proving global minimality of partitions via constructing suitable vector 
 fields. Our approach can also be viewed as a static version of gradient fl
 ow calibrations\, by which we can prove weak-strong uniqueness results for
  mean curvature flow. This is joint work with Julian Fischer\, Sebastian H
 ensel and Tim Laux.\n
LOCATION:https://researchseminars.org/talk/VCU_ALPS/19/
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