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BEGIN:VEVENT
UID:850ac854d78acb5c83e191235e43daf9
CATEGORIES:Nonlinear Analysis
CREATED:20210503T111928
SUMMARY:Exact solutions for the wrinkle patterns of confined elastic shells
LOCATION:zoom
DESCRIPTION:<p><strong>Abstract:&nbsp;</strong>A basic fact of geometry is that there a
 re no length-preserving maps from a sphere to the plane. But what happens i
 f you confine a thin elastic shell, which prefers to be a curved surface bu
 t can deform approximately isometrically, to reside nearby a plane? It wrin
 kles, and forms a remarkable pattern of peaks and troughs, the arrangement 
 of which is sometimes random, sometimes not depending on the shell. After a
  brief introduction to the mathematical modeling of thin elastic shells, th
 is talk will focus on a new set of simple, geometric rules we have derived 
 for wrinkle patterns via Gamma-convergence and convex analysis of the limit
  problem. Our rules govern the asymptotic layout of the wrinkle peaks and t
 roughs --- for instance, negatively curved wrinkles tend to arrange along s
 egments solving the minimum exit time problem, in the infinitesimally wrink
 led limit. Positively curved shells can be understood more or less complete
 ly as well, through a hidden duality with their negatively curved counterpa
 rts. Our predictions for the wrinkle patterns of confined shells match the 
 results of numerous experiments and simulations done with Eleni Katifori (U
 . Penn) and Joey Paulsen (Syracuse). Underlying their analysis is a certain
  class of interpolation inequalities of Gagliardo-Nirenberg type, whose bes
 t prefactors encode the optimal patterns.&nbsp;</p>
CONTACT:Ian Tobasco, University of Illinois at Chicago
X-EXTRAINFO:https://rutgers.zoom.us/j/92489375526?pwd=K0xyMEpHQXIrc0NLMEtqUWdSNHF4QT09#
 success\nMeeting ID: 924 8937 5526 Passcode: 565238
DTSTAMP:20260909T000403
DTSTART;TZID=America/New_York:20210505T093000
DTEND;TZID=America/New_York:20210505T103000
SEQUENCE:0
TRANSP:OPAQUE
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