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CATEGORIES:Applied and Computational Analysis
SUMMARY:Water waves over highly disordered bottoms - Andre
Nachbin (IMPA)
DTSTART;TZID=Europe/London:20120308T150000
DTEND;TZID=Europe/London:20120308T160000
UID:TALK36627AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/36627
DESCRIPTION:Surface water-wave scattering over highly-variable
bottoms is the theme of this presentation. Intere
sting phenomena\, such as the apparent diffusion a
nd the time-reversed refocusing of these waves\, c
an be understood through a probabilistic modeling
of disorder. Namely the bottom topography profile
can be interpreted as a random coefficient in the
differential equations. Reduced modeling\, from th
e Euler equations\, play a fundamental role in the
asymptotic theory and computations. The reduced m
odels are Boussinesq-type systems. An overview of
these issues will be presented indicating\, for ex
ample\, how a tsunami can be attenuated in the coa
stal region through its interaction with the botto
m. Also how time-reversed refocusing performs the
waveform inversion. It will be shown that asymptot
ically-equivalent Boussinesq systems may lead to d
ifferent waveform inversion. Hence a recent non-lo
cal formulation (Fokas & Nachbin\, 2012) has a gre
at potential for studying the full potential-theor
y scattering problem.
LOCATION:MR14\, CMS
CONTACT:Carola-Bibiane Schoenlieb
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