On particle trajectories in linear deep-water waves

2011/11/10 by Anca-Voichita Matioc, Anca–Voichita Matioc, Matioc, Anca-Voichita · 1 citation
Earth and Planetary Sciences · Mathematics · #34C25 #35Q35 #76B15 #Analysis of PDEs (math.AP) #Aquatic and Environmental Studies #Arctic and Antarctic ice dynamics #Differential Equations and Numerical Methods #FOS: Mathematics #math.AP #msc:34C25 #msc:35Q35 #msc:76B15

paper · pdf · doi:10.48550/arxiv.1111.2490

To appear in "Discrete and Continuous Dynamical Systems - B"

arxiv created 2011/11/10 · openalex publication_date 2011/11/10 · arxiv updated 2011/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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• Wave-induced drift in third-order deep-water theory

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