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SUMMARY:Dynamic energy cascades in the theory of water waves - Tobisch\, E
  (Johannes Kepler Universitt)
DTSTART:20140728T130000Z
DTEND:20140728T140000Z
UID:TALK53582@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The very notion of energy cascade in large bodies of water bel
 ongs to the English mathematician\, physicist and meteorologist L.F. Richa
 rdson\, who introduced it in 1922 and also suggested a qualitative heurist
 ic model of this process. This conceptual model has been turned into a mat
 hematical theory by A.N. Kolmogorov in 1941\, for fully developed turbulen
 ce\, and by V.E. Zakharov in 1967\, for weak wave turbulence of weakly non
 linear amplitude. The model of a dynamic energy cascade presented in this 
 talk covers a range of moderate nonlinearities not covered by any of the p
 revious theories. The main physical mechanism generating a dynamical casca
 de is modulation instability. Analytical and numerical results will be pre
 sented\, and also briefly compared with experimental observations.\n
LOCATION:Seminar Room 1\, Newton Institute
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