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CATEGORIES:Fluid Mechanics (DAMTP)
SUMMARY:Complex dynamics of solitary water waves in three
dimensions - Paul Milewski (Bath)
DTSTART;TZID=Europe/London:20120316T160000
DTEND;TZID=Europe/London:20120316T170000
UID:TALK35397AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/35397
DESCRIPTION:When both gravity and surface tension effects are
included in the water wave problem\, there are mul
tiple families of solitary waves that can be found
\, including fully three dimensional localized wav
es in water of infinite depth. I will present the
bifurcation problem together with the computation
of various branches of travelling solitary wave so
lutions\, followed by time-dependent computations
performed in order to understand the nonlinear evo
lution of wave interactions and instabilities. The
rich behaviour is remarkable\, with "quantized" e
nergy states and complex multi-wave interactions/i
nstabilities. A possible simpler model for these t
ypes of waves will also be described.
LOCATION:MR2\, Centre for Mathematical Sciences\, Wilberfor
ce Road\, Cambridge
CONTACT:Dr Ed Brambley
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