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SUMMARY:Complex dynamics of solitary water waves in three dimensions - Pau
 l Milewski (Bath)
DTSTART:20120316T160000Z
DTEND:20120316T170000Z
UID:TALK35397@talks.cam.ac.uk
CONTACT:Dr Ed Brambley
DESCRIPTION:When both gravity and surface tension effects are included in 
 the water wave problem\, there are multiple families of solitary waves tha
 t can be found\, including fully three dimensional localized waves in wate
 r of infinite depth. I will present the bifurcation problem together with 
 the computation of various branches of travelling solitary wave solutions\
 , followed by time-dependent computations performed in order to understand
  the nonlinear evolution of wave interactions and instabilities. The rich 
 behaviour is remarkable\, with "quantized" energy states and complex multi
 -wave interactions/instabilities. A possible simpler model for these types
  of waves will also be described.
LOCATION:MR2\, Centre for Mathematical Sciences\, Wilberforce Road\, Cambr
 idge
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