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UID:20260811T024222EDT-5573V6GUwS@132.216.98.100
DTSTAMP:20260811T064222Z
DESCRIPTION:Title: Optimal domains for the first curl eigenvalueAbstract: T
 he classical Faber-Krahn inequality for the first eigenvalue of the Dirich
 let Laplacian shows that the ball is the unique optimal domain. In this ta
 lk I will explore the analogous problem for the curl operator: for a fixed
  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-val
 ued operators\, this question is rather unexplored and remains wide open. 
 In this talk I will show that\, even taking into account that the first ei
 genvalue is uniformly lower bounded in terms of the volume\, there are no 
 axisymmetric smooth optimal domains for the curl that satisfy a mild techn
 ical assumption. In particular\, this rules out the existence of optimal a
 xisymmetric domains with a convex section. This is based on joint work wit
 h Alberto Enciso.\n\nFor more Zoom meeting information please contact dmit
 ry.jakobson [at] mcgill.ca\n
DTSTART:20201120T170000Z
DTEND:20201120T180000Z
SUMMARY:Daniel Peralta-Salas (ICMAT)
URL:/channels/channels/event/daniel-peralta-salas-icma
 t-325639
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