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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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TZOFFSETFROM:+0000
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DTSTART:20170101T000000
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DTSTART;TZID=UTC:20171101T130000
DTEND;TZID=UTC:20171101T140000
DTSTAMP:20210620T164302
CREATED:20170927T074443Z
LAST-MODIFIED:20171018T124754Z
UID:2572-1509541200-1509544800@math-sciences.org
SUMMARY:Raphael Stuhlmeier (Plymouth)
DESCRIPTION:On particle trajectories for Stokes’ edge waves \nAbstract: The matter of particle motion beneath water waves is one of the most natural of questions; it is immediately clear from observations that water particles do not generally travel with the speed of the waveform\, but the exact character of their motion in different types of waves has been the matter of much investigation. We treat the particle motion in Stokes’ linear edge wave\, which propagates along a uniformly sloping beach: a three-dimensional wave with variation in the cross-shore and long-shore directions. Using analogies between the exact\, rotational solution developed by Gerstner and linear water wave theory\, and an appropriate rotation of the coordinate frame\, we show that there is no particle motion in the direction orthogonal to the sloping beach. Some applications to weakly nonlinear edge waves\, as well as modern results by Constantin\, Ehrnström\, and Villari on particle paths will also be discussed. \nThis seminar is suitable for undergraduates as well as interested staff.
URL:https://math-sciences.org/event/raphael-stuhlmeier/
LOCATION:PSQ Plymouth LT\, Portland Square Building\, University of Plymouth\, Plymouth\, Devon\, PL4 8AA\, United Kingdom
CATEGORIES:Applied Mathematics,Seminars
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