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SUMMARY:Water-wave forcing on submerged plates - Malte Peter (Universität
  Augsburg)
DTSTART:20190815T080000Z
DTEND:20190815T090000Z
UID:TALK128581@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:We discuss the application of the Wiener-Hopf method to linear
  water-wave interactions with submerged plates. As the guiding problem\, t
 he Wiener-Hopf method is used to derive an explicit expression for the ref
 lection coefficient when a plane wave is obliquely incident upon a submerg
 ed semi-infinite porous plate in water of finite depth. Having used the Ca
 uchy Integral Method in the factorisation\, the expression does not rely o
 n knowledge of any of the complex-valued eigenvalues or corresponding vert
 ical eigenfunctions in the region occupied by the plate. It is shown that 
 the Residue Calculus technique yields the same result as the Wiener-Hopf m
 ethod for this problem and this is also used to derive an analytical expre
 ssion for the solution of the corresponding finite-plate problem. Applicat
 ions to submerged rigid plates and elastic plates are discussed as well.
LOCATION:Seminar Room 1\, Newton Institute
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