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SUMMARY:Derivation of kinetic wave equations: Feynman graphs and their com
 binatorics - Pierre Germain (New York University)
DTSTART:20220118T154500Z
DTEND:20220118T164500Z
UID:TALK167612@talks.cam.ac.uk
DESCRIPTION:Kinetic wave equations provide a kinetic description of nonlin
 ear dispersive equations in the weakly turbulent regime. I will first give
  an overview of this theory\, which developed very rapidly over the last f
 ew years: what are its aims\, and how far did we get?\nThen\, I will intro
 duce&nbsp\;the mathematical tools needed to derive rigorously kinetic wave
  equations. The basic idea is to expand the solution in its data\, to repr
 esent this expansion through Feynman graphs\, and finally to use the graph
  structure to evaluate the contribution of the various terms.
LOCATION:Seminar Room 1\, Newton Institute
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