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SUMMARY:Water-wave interaction with submerged elastic or poroelastic plate
 s - Malte Peter (Universität Augsburg)
DTSTART:20240702T091500Z
DTEND:20240702T094500Z
UID:TALK214846@talks.cam.ac.uk
DESCRIPTION:We discuss the application of the Wiener&ndash\;Hopf method to
  linear water-wave interactions with horizontal thin elastic or poro-elast
 ic plates in a unified framework. It is shown how the solution for a singl
 e plate can be computed straightforwardly using Cauchy-type integrals\, wh
 ich avoids the need to find the roots of the highly non-trivial dispersion
  equations. Furthermore\, the method is illustrated with some numerical co
 mputations\, focusing on the evolution of an incident wave pulse which ill
 ustrates the existence of two transmitted waves in the submerged plate sys
 tem. The effect of the porosity is shown to influence the shorter-waveleng
 th pulse much more strongly than the longer-wavelength pulse. Finally\, th
 e extension to multiple plates will be discussed.
LOCATION:Seminar Room 1\, Newton Institute
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