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DTSTART:20250330T030000
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DTSTAMP:20260424T143236Z
UID:6687bf08e3cc0708479018@ist.ac.at
DTSTART:20250311T160000
DTEND:20250311T170000
DESCRIPTION:Speaker: Theresa Simon\nhosted by Julian Fischer\nAbstract: Whe
 n performing a blowup analysis of singularities in 2D multiphase mean curv
 ature flow\, one is led to the notion of self-similar shrinker: Networks w
 hose evolution by mean curvature is given by shrinking homotheties. It can
  be shown that they are critical points of the interface length functional
  with a Gaussian weight. Furthermore\, this weighted length is decreased d
 uring the flow. Hence the dynamic stability of the shrinkers can be studie
 s via stability of the weighted length functional\, a matter that is compl
 icated by the existence of\, generically\, four unstable modes arising fro
 m dilation\, translation\, and rotation. In the talk\, I will demonstrate 
 how to perform a linear stability analysis of self-similar shrinkers for t
 he example of the lens.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Theresa Simon: Linear Stability of the self-similarly shrinking len
 s
URL:https://talks-calendar.ista.ac.at/events/5631
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