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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Exponential asymptotics for the equatorial Kelvin
wave and the higher-order Stokes phenomenon - Josh
Shelton (University of Bath)
DTSTART;TZID=Europe/London:20221101T145000
DTEND;TZID=Europe/London:20221101T152000
UID:TALK185198AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/185198
DESCRIPTION:The equatorial Kelvin wave is a travelling atmosph
eric or oceanographic wave that propagates easterl
y along the equator. It is known that this motion
is destabilised with the inclusion of weak backgro
und shear\, which may be physically generated by z
onal jets. Furthermore\, Natarov & Boyd (Dynam. At
mos. Oceans\, 2001) numerically demonstrated that
this instability is exponentially small with respe
ct to the small shear parameter. In this talk\, we
demonstrate how this instability arises in connec
tion with Stokes lines and the Stokes phenomenon.
This problem includes various subtitles\, such as
an associated eigenvalue whose asymptotic expansio
n diverges\, and the higher-order Stokes phenomeno
n which is generated by Stokes switching in the la
te-terms of the asymptotic expansion of the soluti
on itself. Techniques for the derivation of both o
f these features are discussed\, and an analytical
result for the exponentially-small Kelvin wave in
stability is obtained. This is joint work with S.
Griffiths\, S. J. Chapman\, and P. Trinh.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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