Difference between revisions of "Michael Meylan"

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Micheal Meylan is a lecturer at the University of Auckland. He complete his Ph.D. under Vernon Squire
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Michael Meylan is a Professor at the [http://www.newcastle.edu.au The University of Newcastle]. The wikiwaves site is largely his work. His home page can be found at [https://www.newcastle.edu.au/profile/mike-meylan]
in 1993 which was concerned with modelling ice floes using linear wave theory.  
 
  
He has worked on various problem connected with linear wave theory in the subsequent time.  The idea
 
for a website devoted to water waves was his idea.
 
  
[[Image:Mikem.jpg|thumb|right|Photo taken in 1999]]
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[[Category:People|Meylan, Michael]]
 
 
= Research =
 
 
 
Mike's Phd thesis concerned a two-dimensional floating elastic plate which was solved
 
using a Green function method. The motivation for the solution was to model ice floe
 
and at the time he was ignorant of the engineering applications (e.g. [[VLFS]]).
 
Mike independently derived the Green function which
 
was well known in water waves and goes back to [[John_1950a| John 1950]].
 
The derivation method was copied by [[Squire_Dixon_2000a| Squire and Dixon 2000]]
 
(based on a close reading of his Phd thesis) for the case, not of a free surface,
 
but for a free surface covered by a plate
 
The results
 
of this research were publised in the ''Journal of Geophysical Research'' were largely
 
ignored by later researchers. His Phd thesis probably had a much greater influence on
 
the researchers who followed at Otago and it is continuing to appear in journal citations.
 
The solution method using a Green function coupled with a Green function for the plate
 
(the later Green function does not extend to three dimensions because of the much
 
more complicated boundary conditions which exist). The solution method has been
 
superseeded by more efficient methods, most notably the [[Wiener-Hopf]] method developed
 
by Tim Williams and the eigenfunction matching method (which applied to
 
multiple plates) developed by
 
[[Kohout_Meylan_Sakai_Hanai_Leman_Brossard_2006a | Kohout et. al. 2006]].
 
 
 
Mike then extended the two-dimensional solution to a three-dimensional circular elastic plate
 
([[Meylan_Squire_1996a|Meylan and Squire 1996]]).
 
This solution again used a Green function method coupled with the eigenfunctions for a circular
 
plate (which can be computed in exact form, at least up to solving an equation involving
 
Bessel functions.
 
 
 
= Publications =
 
 
 
[[Meylan2002a | Meylan 2002 ]]
 
 
 
= Mike's Pages =
 
 
 
[[Scattering Frequencies]]
 

Latest revision as of 05:25, 16 November 2024

Michael Meylan is a Professor at the The University of Newcastle. The wikiwaves site is largely his work. His home page can be found at [1]