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Lyuba Chumakova, University of Edinburgh
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Edward Johnson, University College London
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Paul Milewski, University of Bath
About:
Trapped wave phenomena are challenging to analyse and predict, as they usually require the study of partial differential equations with one or more complications from complex boundaries, variable co-efficients or non-linearity. The workshop brought together researchers whose expertise spans geophysical flows, surface water waves, complex dynamics and experiments, and the underpinning theory of waves in fluids. These specialists came from different fields: pure and applied mathematics, atmospheric and ocean scientists, experimentalists and industry representatives. This workshop was a perfect environment for them to exchange ideas, borrow approaches and start interdisciplinary collaborations. Additionally, it identified and outlined outstanding mathematical problems underpinning wave trapping and wave radiation.
The Workshop addressed:
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Self trapping arising from non-linear effects such as the generation of a mean field
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Topographic trapping arising from beaches, mountains, and variations of coastal topography slope
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Equatorial trapping arising from the variation in Coriolis effect in the equatorial region
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Stratification trapping from either refraction of high frequencies or trapped modal structures
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Trapping by currents and large scale flows
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Trapping associated with the critical latitude for near-inertial internal waves
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Wave generation by flows over mountains or ocean topography
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Leaking of trapped modes by transmission through boundaries and high contrast regions
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Inelastic nonlinear wave interaction and dispersive radiation
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Localised forcing in a trapped wave context
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Resonant and critical flows
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Radiation from oceanic coastal-trapped waves propagating over planetary scales