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UID:20250916T042028EDT-3620KzuTh4@132.216.98.100
DTSTAMP:20250916T082028Z
DESCRIPTION:Title: Optimal domains for the first curl eigenvalue\n	Abstract:
  The classical Faber-Krahn inequality for the first eigenvalue of the Diri
 chlet Laplacian shows that the ball is the unique optimal domain. In this 
 talk I will explore the analogous problem for the curl operator: for a fix
 ed volume\, what is the optimal domain for the first positive (or negative
 ) eigenvalue of curl? In spite of being one of the most important vector-v
 alued operators\, this question is rather unexplored and remains wide open
 . In this talk I will show that\, even taking into account that the first 
 eigenvalue is uniformly lower bounded in terms of the volume\, there are n
 o axisymmetric smooth optimal domains for the curl that satisfy a mild tec
 hnical assumption. In particular\, this rules out the existence of optimal
  axisymmetric domains with a convex section. This is based on joint work w
 ith Alberto Enciso.\n\nFor more Zoom meeting information please contact dm
 itry.jakobson [at] mcgill.ca\n
DTSTART:20201120T170000Z
DTEND:20201120T180000Z
SUMMARY:Daniel Peralta-Salas (ICMAT)
URL:/mathstat/channels/event/daniel-peralta-salas-icma
 t-325639
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