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SUMMARY:Nearly time-periodic water waves - Wilkening\, J (University of Ca
 lifornia\, Berkeley)
DTSTART:20140716T120000Z
DTEND:20140716T130000Z
UID:TALK53410@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We compute new families of time-periodic and quasi-periodic so
 lutions of the free-surface Euler equations involving standing waves\, sta
 nding-traveling waves and collisions of solitary waves of various types. I
 n the collision case\, similarities notwithstanding\, the new solutions ar
 e found to be well outside of the KdV and NLS regimes.  A Floquet analysis
  shows that many of the new solutions are linearly stable to harmonic pert
 urbations. Evolving such perturbations (nonlinearly) over tens of thousand
 s of cycles suggests that the solutions remain nearly time-periodic foreve
 r.  Parts of the talk will serve as an introduction to later talks in the 
 session.\n\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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