[Events] MACSI Seminar 4pm today

Sarah.Mitchell Sarah.Mitchell at staffmail.ul.ie
Fri Nov 27 07:59:20 GMT 2009


The department of Mathematics and Statistics invites you to a seminar by
our own Prof. Krzysztof Podgorski (Department of Mathematics and
Statistics, UL): 

 

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Title:  How big are big waves? - practicing statistics on the sea
surface

Abstract:  The sea surface is a classical example of stochastic field
that is evolving in time. Extreme events that are occurring on such a
surface are random and of interest for practitioners - ocean engineers
are interested in large waves and damage they may cause to an oil
platform or to a ship. 

Thus data on the ocean surface elevation are constantly collected by
system of buoys, ship- or air-borne devices, and satelites all around
the globe. These vast data require statistical analysis to answer
important questions about random events of interest. For example, one
can ask about statistical distribution of wave sizes, in particular, how
distributed large waves are or how steep they are. Waves often travel in
groups and a group of waves typically causes more damage to a structure
or a ship than an individual wave even if the latter is bigger than each
one in the group. So one can be interested in how many waves there is
per group or how fast groups are traveling in comparison to individual
waves. 

In the talk, a methodology that allows answer all such questions is
presented. It is based on a classical result of Rice and allows for
computation of statistical distributions of events sampled from the sea
surface. The methodology initially was applied to Gaussian sea but in
fact, it is also valid for quite general dynamically evolving stochastic
surfaces. In recent years, the focus has been shifted from the Gaussian
models to more general second order fields. These general models can
account for vertical and horizontal asymmetry of observed data as well
as heavier than Gaussian tails that are also often recorded in practice.
An illustration of the impact of ``non-Gaussianity'' on the fatigue
damage occurring at a simple linear structure is presented. 

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The seminar will take place on Friday 27th November, at 4pm, in A2-002.

 

If you have any questions regarding this seminar, please direct them to
Sarah Mitchell (061 202259, sarah.mitchell at ul.ie
<mailto:sarah.mitchell at ul.ie> ).  A full list of Seminars for this
semester can be found at: 

 

http://www.staff.ul.ie/mitchells/MACSI_seminars.html
<http://www.staff.ul.ie/mitchells/MACSI_seminars.html> 

 

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Supported by Science Foundation Ireland Mathematics Initiative funding,
MACSI - the Mathematics Applications Consortium for Science and Industry
(www.macsi.ie), centred at the University of Limerick, is dedicated to
the mathematical modelling and solution of problems which arise in
science, engineering and industry in Ireland

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