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SUMMARY:Do edge waves exist on ice shelves? - David Abrahams (University o
 f Cambridge)
DTSTART:20240704T083000Z
DTEND:20240704T091500Z
UID:TALK214945@talks.cam.ac.uk
DESCRIPTION:This talk is very loosely motivated by the topic of calving of
  ice shelves\, discussed at the 2023 INI Programme on the "Mathematical th
 eory and applications of multiple wave scattering"\, and at KOZWaves 2024.
  Here we tentatively propose a possible new mechanism for this breakup\, r
 elated to the existence of unattenuated edge waves on ice shelves.\nWe sha
 ll commence the talk with an elementary discussion of waves on thin elasti
 c plates\, including fluid loaded plate waves and Konenkov edge waves1\, a
 nd review an earlier work by the author on the existence of edge waves on 
 thin elastic plates submerged in compressible fluids2. We shall then emplo
 y a highly simplified model of an ice shelf to reduce the problem to the f
 inding of eigensolutions of a simple Wiener-Hopf boundary value problem\, 
 which we can solve explicitly. Some simple conclusions will be drawn at th
 e end of the talk.\n1. Konenkov\, Yu. K. 1960 A Rayleigh-type flexural wav
 e. Soviet Physics Acoustics 6\, 122-123.\n2. Abrahams\, I. D. & Norris\, A
 . N. 2000 On the existence of flexural edge waves on submerged elastic pla
 tes. Proceedings of the Royal Society of London A 456 (1999)\, 1559-1582.
LOCATION:Seminar Room 1\, Newton Institute
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