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SUMMARY:Birkhoff normal forms for the equations of water waves - Craig\, W
  (McMaster University and Fields Institute)
DTSTART:20140714T143000Z
DTEND:20140714T153000Z
UID:TALK53390@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:A normal forms transformation for a dynamical system in a neig
 hborhood of a stationary point retains only the significant nonlinearities
 \, eliminating inessential terms. It is well known that the equations for 
 water waves can be posed as a Hamiltonian dynamical system\, and that the 
 equilibrium solution is an elliptic stationary point. This talk will discu
 ss the Birkhoff normal forms for this system of equations in the setting o
 f spatially periodic solutions. Results include the regularity of the norm
 al forms transformations\, and the dynamical implications of the normal fo
 rm. This is joint work with Catherine Sulem (University of Toronto).\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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