BEGIN:VCALENDAR VERSION:2.0 PRODID:-//jEvents 2.0 for Joomla//EN CALSCALE:GREGORIAN METHOD:PUBLISH BEGIN:VTIMEZONE TZID:America/New_York BEGIN:STANDARD DTSTART:20201101T010000 RDATE:20210314T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20211107T010000 RDATE:20220313T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20221106T010000 RDATE:20230312T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20231105T010000 RDATE:20240310T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20241103T010000 RDATE:20250309T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20251102T010000 RDATE:20260308T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20261101T010000 RDATE:20270314T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20271107T010000 RDATE:20280312T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20281105T010000 RDATE:20290311T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:DAYLIGHT DTSTART:20200504T093000 RDATE:20201101T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20210314T030000 RDATE:20211107T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20220313T030000 RDATE:20221106T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20230312T030000 RDATE:20231105T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20240310T030000 RDATE:20241103T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20250309T030000 RDATE:20251102T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20260308T030000 RDATE:20261101T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20270314T030000 RDATE:20271107T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20280312T030000 RDATE:20281105T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT END:VTIMEZONE BEGIN:VEVENT UID:850ac854d78acb5c83e191235e43daf9 CATEGORIES:Nonlinear Analysis CREATED:20210503T111928 SUMMARY:Exact solutions for the wrinkle patterns of confined elastic shells LOCATION:zoom DESCRIPTION:Abstract: A basic fact of geometry is that there are no length-preserving m aps from a sphere to the plane. But what happens if you confine a thin elas tic shell, which prefers to be a curved surface but can deform approximatel y isometrically, to reside nearby a plane? It wrinkles, and forms a remarka ble pattern of peaks and troughs, the arrangement of which is sometimes ran dom, sometimes not depending on the shell. After a brief introduction to th e mathematical modeling of thin elastic shells, this talk will focus on a n ew set of simple, geometric rules we have derived for wrinkle patterns via Gamma-convergence and convex analysis of the limit problem. Our rules gover n the asymptotic layout of the wrinkle peaks and troughs --- for instance, negatively curved wrinkles tend to arrange along segments solving the minim um exit time problem, in the infinitesimally wrinkled limit. Positively cur ved shells can be understood more or less completely as well, through a hid den duality with their negatively curved counterparts. Our predictions for the wrinkle patterns of confined shells match the results of numerous exper iments and simulations done with Eleni Katifori (U. Penn) and Joey Paulsen (Syracuse). Underlying their analysis is a certain class of interpolation i nequalities of Gagliardo-Nirenberg type, whose best prefactors encode the o ptimal patterns. \n X-ALT-DESC;FMTTYPE=text/html:

Abstract: 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. 

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:20260908T165130 DTSTART;TZID=America/New_York:20210505T093000 DTEND;TZID=America/New_York:20210505T103000 SEQUENCE:0 TRANSP:OPAQUE END:VEVENT END:VCALENDAR