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PRODID:-//Centre for Mathematical Sciences - ECPv5.4.0.2//NONSGML v1.0//EN
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METHOD:PUBLISH
X-WR-CALNAME:Centre for Mathematical Sciences
X-ORIGINAL-URL:https://math-sciences.org
X-WR-CALDESC:Events for Centre for Mathematical Sciences
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TZID:UTC
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TZOFFSETFROM:+0000
TZOFFSETTO:+0000
TZNAME:UTC
DTSTART:20190101T000000
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BEGIN:VEVENT
DTSTART;TZID=UTC:20190403T150000
DTEND;TZID=UTC:20190403T160000
DTSTAMP:20210423T112456
CREATED:20190312T182906Z
LAST-MODIFIED:20190329T114730Z
UID:3463-1554303600-1554307200@math-sciences.org
SUMMARY:Alan Compelli (Cork)
DESCRIPTION:Title: Soliton fission in a fluid of non-uniform depth\nAbstract: A surface water wave over a bed of non-uniform depth is considered. The fluid is incompressible\, inviscid and irrotational. The Hamiltonian is determined in terms of wave-only quantities using a Dirichlet-Neumann operator. By introducing an appropriate scaling regime\, and considering the bottom to vary slowly\, a KdV equation with variable coefficients is derived. A one-soliton solution approaching a ramp on the seabed is then considered and numerical results demonstrate the effect the ramp shape has on the birth of new solitons as the soliton passes over it.
URL:https://math-sciences.org/event/alan-compelli-cork/
LOCATION:Room 101\, 2-5 Kirkby Place\, Plymouth\, PL4 6DT\, United Kingdom
CATEGORIES:Applied Mathematics,Seminars
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