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BEGIN:VEVENT
UID:2fb7cde985deccc8e8d26207c6a93cd6
CATEGORIES:Nonlinear Analysis
CREATED:20210217T134715
SUMMARY:The N-membrane problem 
LOCATION:zoom
DESCRIPTION:<p><span style="font-family: Times New Roman; font-size: medium;"> </span><
 /p><p><span style="font-size: medium;"><b><span style="color: black; font-f
 amily: '-webkit-standard',serif;">Abstract:&nbsp;</span></b><span style="co
 lor: black; font-family: '-webkit-standard',serif;">The N-membrane problem 
 is the study of shapes of elastic membranes being pushed against each other
 . The main questions are the regularity of the functions modeling the membr
 anes, and the regularity of the contact regions between consecutive membran
 es. These are classical questions in free boundary problems. However, very 
 little is known when N is larger than 2. In this case, there are multiple f
 ree boundaries that cross each other, and most known techniques fail to app
 ly. In this talk, we discuss, for general N, the optimal regularity of the 
 solutions in arbitrary dimensions, and a classification of blow-up solution
 s in 2D. Then we focus on the regularity of the free boundaries when N=3. W
 e also discuss how the techniques developed here can be applied to other pr
 oblems involving multiple free boundaries. This talk is based on two recent
  joint works with Ovidiu Savin (Columbia University).<span style="color: bl
 ack; font-family: '-webkit-standard',serif;"><span style="font-size: medium
 ;"></span></span></span></span></p><p><span style="font-family: Times New R
 oman; font-size: medium;"> </span></p>
CONTACT:Hui Yu, Columbia University
X-EXTRAINFO:https://rutgers.zoom.us/j/92489375526?pwd=K0xyMEpHQXIrc0NLMEtqUWdSNHF4QT09#
 success\n Meeting ID: 924 8937 5526 Passcode: 565238
DTSTAMP:20260827T171707
DTSTART;TZID=America/New_York:20210224T093000
DTEND;TZID=America/New_York:20210224T103000
SEQUENCE:0
TRANSP:OPAQUE
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