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SUMMARY:Water waves over highly disordered bottoms - Andre Nachbin (IMPA)
DTSTART:20120308T150000Z
DTEND:20120308T160000Z
UID:TALK36627@talks.cam.ac.uk
CONTACT:Carola-Bibiane Schoenlieb
DESCRIPTION:Surface water-wave scattering over highly-variable bottoms is 
 the theme of this presentation. Interesting phenomena\, such as the appare
 nt diffusion and the time-reversed refocusing of these waves\, can be unde
 rstood through a probabilistic modeling of disorder. Namely the bottom top
 ography profile can be interpreted as a random coefficient in the differen
 tial equations. Reduced modeling\, from the Euler equations\, play a funda
 mental role in the asymptotic theory and computations. The reduced models 
 are Boussinesq-type systems. An overview of these issues will be presented
  indicating\, for example\, how a tsunami can be attenuated in the coastal
  region through its interaction with the bottom. Also how time-reversed re
 focusing performs the waveform inversion. It will be shown that asymptotic
 ally-equivalent Boussinesq systems may lead to different waveform inversio
 n. Hence a recent non-local formulation (Fokas & Nachbin\, 2012) has a gre
 at potential for studying the full potential-theory scattering problem.
LOCATION:MR14\, CMS
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