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:On surface and internal ring waves on currents: di
spersive hydrodynamics in 3D - Karima Khusnutdinov
a (Loughborough University)
DTSTART;TZID=Europe/London:20220712T110000
DTEND;TZID=Europe/London:20220712T113000
UID:TALK175847AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/175847
DESCRIPTION:Oceanic surface and internal waves often have curv
ilinear fronts and propagate over various depth-de
pendent currents. We study long weakly-nonlinear w
aves using a linear modal decomposition in the far
-field set of Euler equations with the boundary co
nditions appropriate for oceanographic application
s. The theoretical framework consists of a spectra
l problem defining three-dimensional modal functio
ns and dispersion relation (angular adjustment equ
ation in the form of a nonlinear first-order ODE)\
, as well as an amplitude equation (generally\, 2+
1-dimensional) with coefficients dependent on solu
tions of the modal equations. \; I will discus
s recent \; analytical results for two- and th
ree-layered fluids with basic shear flows suitable
for the modelling of wind-generated currents\, ri
ver inflows and exchange flows in straits. \;
I will also discuss numerical results \; which
reveal interesting features including the formati
on of transient dispersive shock waves only in the
upstream part of the ring wave. The structure of
the wave field in strongly three-dimensional. Sing
ularities of the swallowtail-type may arise near t
he onset of the long-wave instability of the basic
flow. Based on joint works with Curtis Hooper\, R
oger Grimshaw\, Dmitri Tseluiko\, Noura Alharthi a
nd Ricardo Barros.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
END:VEVENT
END:VCALENDAR