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SUMMARY:Hamiltonian models for the propagation of irrotational surface gra
 vity waves over a variable bottom - Rossen Ivanov (Dublin Institute of Tec
 hnology)
DTSTART:20170810T133000Z
DTEND:20170810T143000Z
UID:TALK75361@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Co-Authors:&nbsp\; Alan Compelli and Mihail Todorov<br><br>A s
 ingle incompressible\, inviscid\, irrotational fluid medium bounded by a f
 ree surface and varying bottom is considered. The Hamiltonian of the syste
 m is expressed in terms of the so-called Dirichlet-Neumann operators. The 
 equations for the surface waves are presented in Hamiltonian form. Specifi
 c scaling of the variables is selected which leads to approximations of Bo
 ussinesq and KdV types taking into account the effect of the slowly varyin
 g bottom. The arising KdV equation with variable coefficients is studied n
 umerically when the initial condition is in the form of the one soliton so
 lution for the initial depth.<br><br>
LOCATION:Seminar Room 1\, Newton Institute
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