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CATEGORIES:Cambridge Analysts' Knowledge Exchange
SUMMARY:Traveling quasi-periodic water waves - Luca Franzo
i (SISSA / Scuola Internazionale Superiore di Stud
i Avanzati)
DTSTART;TZID=Europe/London:20200529T120000
DTEND;TZID=Europe/London:20200529T130000
UID:TALK142330AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/142330
DESCRIPTION:The analysis of traveling waves for the water wave
s problem has 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 ye
ars\, all research so far has mainly 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 existenc
e of small amplitude\, quasi-periodic in time trav
eling waves solutions for space periodic gravity-c
apillary water with constant vorticity in two dime
nsions. As far as we know\, this is the first resu
lt of quasi-periodic in time traveling water waves
and it is much more difficult than the periodic c
ase due to the presence of small divisors.\n\nIn t
he first part I will introduce the water waves sys
tem starting from the Euler equations and I will e
xplain the main statement\, while in the second pa
rt I will give some glimpses of the proof\, togeth
er with some analytical techniques.\n\nThis is a j
oint work with Massimiliano Berti and Alberto Masp
ero.
LOCATION:Online (Ask for the link to rav25@cam.ac.uk)
CONTACT:Renato Velozo
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