Alan Compelli (Cork)

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Alan Compelli (Cork)

April 3, 2019 @ 3:00 pm - 4:00 pm UTC+0

Title: Soliton fission in a fluid of non-uniform depth
Abstract: 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.


April 3, 2019
3:00 pm - 4:00 pm UTC+0
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Raphael Stuhlmeier


Room 101
2-5 Kirkby Place
Plymouth, PL4 6DT United Kingdom
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