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SUMMARY:Boundary value problems on a finite interval\, fractalisation and 
 revivals - Beatrice Pelloni (Heriot-Watt University)
DTSTART:20190909T103000Z
DTEND:20190909T113000Z
UID:TALK129244@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:I will describe the behaviour of equations posed on a finite i
 nterval\, and in particular the &ldquo\;Talbot effect&rdquo\;\, a phenomen
 on known in optics and quantum mechanics\, studied by M. Berry in the 1990
 s and re-discovered in the context of dispersive equations by Peter Olver 
 in recent years. In this context\, this<br> effect implies that the soluti
 on of periodic problems exhibits either revivals of the initial condition\
 , or fractalisation. To study the extent of this effect\, we use the solut
 ion representation obtained by the Unified Transform of Fokas\, and numeri
 cal experimentation. This is joint work  with David Smith\, Lyonell Boulto
 n and George Farmakis.
LOCATION:Seminar Room 1\, Newton Institute
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