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SUMMARY:Patrick Gérard (Université Paris-Saclay)
DTSTART:20201022T140000Z
DTEND:20201022T145000Z
DTSTAMP:20260423T035718Z
UID:IMS/66
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IMS/66/">Int
 egrability of the Benjamin--Ono equation and applications</a>\nby Patrick 
 Gérard (Université Paris-Saclay) as part of PDE seminar via Zoom\n\n\nAb
 stract\nI will review recent results about the dynamics of the Benjamin--O
 no equation on the torus : sharp wellposedness in the Sobolev spaces\, alm
 ost periodicity of solutions\, stability of  traveling waves\, existence o
 f singular time periodic solutions. All these results are obtained as cons
 equences of  the construction of a nonlinear Fourier transformation which 
 is inherited from the Lax pair structure of the equation. I will  sketch t
 he construction of this transformation and discuss work in progress about 
 it.\n\nThis talk is based on a series of  joint works with Thomas Kappeler
  (Zuerich) and Peter Topalov (Boston).\n
LOCATION:https://researchseminars.org/talk/IMS/66/
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