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SUMMARY:Traveling quasi-periodic water waves - Luca Franzoi (SISSA / Scuol
 a Internazionale Superiore di Studi Avanzati)
DTSTART:20200529T110000Z
DTEND:20200529T120000Z
UID:TALK142330@talks.cam.ac.uk
CONTACT:Renato Velozo
DESCRIPTION:The analysis of traveling waves for the water waves problem ha
 s been tackled for more than a century by many mathematicians. From Stokes
 's pioneering work in 1847 to the first rigorous result by Levi Civita in 
 1925 and until improvements in recent years\, all research so far has main
 ly concerned the existence of periodic traveling waves\, which are steady 
 with respect to a moving frame.\n\nIn this talk I present a recent result 
 about the existence of small amplitude\, quasi-periodic in time traveling 
 waves solutions for space periodic gravity-capillary water with constant v
 orticity in two dimensions. As far as we know\, this is the first result o
 f quasi-periodic in time traveling water waves and it is much more difficu
 lt than the periodic case due to the presence of small divisors.\n\nIn the
  first part I will introduce the water waves system starting from the Eule
 r equations and I will explain the main statement\, while in the second pa
 rt I will give some glimpses of the proof\, together with some analytical 
 techniques.\n\nThis is a joint work with Massimiliano Berti and Alberto Ma
 spero.
LOCATION:Online (Ask for the link to rav25@cam.ac.uk)
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