On particle trajectories in linear deep-water waves

Anca-Voichita Matioc

doi:10.3934/cpaa.2012.11.1537

Article Contents

2012, Volume 11, Issue 4: 1537-1547. Doi: 10.3934/cpaa.2012.11.1537

This issue Previous Article On isolated vorticity regions beneath the water surface Next Article Effects of shear flow on KdV balance - applications to tsunami

On particle trajectories in linear deep-water waves

Anca-Voichita Matioc^1,

1.
Institute for Applied Mathematics, Leibniz University Hanover, Welfengarten 1, 30167 Hanover

Received: November 30, 2010

Revised: May 31, 2011

Published: June 2012

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Abstract

We determine the phase portrait of a Hamiltonian system of equations describing the motion of the particles in linear deep-water waves. The particles experience in each period a forward drift which decreases with greater depth.

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Mathematics Subject Classification: Primary: 76B15, 34C25; Secondary: 35Q35.

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