BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//talks.cam.ac.uk//v3//EN
BEGIN:VTIMEZONE
TZID:Europe/London
BEGIN:DAYLIGHT
TZOFFSETFROM:+0000
TZOFFSETTO:+0100
TZNAME:BST
DTSTART:19700329T010000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:+0100
TZOFFSETTO:+0000
TZNAME:GMT
DTSTART:19701025T020000
RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Water waves: Theory\, computations and application
s - Dimitrios Mitsotakis (Victoria University of W
ellington)
DTSTART;TZID=Europe/London:20221116T153000
DTEND;TZID=Europe/London:20221116T163000
UID:TALK192803AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/192803
DESCRIPTION:Surface water waves of significant interest such a
s tsunamis\, solitary waves and undular bores are
nonlinear and dispersive waves. Unluckily\, the eq
uations describing the propagation of surface wate
r waves known as Euler&rsquo\;s equations are imme
nsely hard to solve. For this reason\, several sim
plified systems of PDEs have been proposed as alte
rnative approximations to Euler&rsquo\;s equations
. In this presentation we review the theoretical p
roperties of such systems. We show that only some
of the asymptotically derived systems obey to the
laws of mathematics and physics while there is onl
y one with complete mathematical theory for physic
ally sound initial-boundary value problems. We als
o discuss the numerical modeling of such problems.
In particular\, we focus on Galerkin / Finite ele
ment methods\, which is a class of high-order meth
ods that has been proved convergent to certain ini
tial-boundary value problems of physical interest
(perhaps the only one). We close this presentation
with conditions for the existence of special solu
tions and validation with laboratory data. \;
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:
END:VEVENT
END:VCALENDAR