Linear water waves with vorticity: rotational features and particle paths

2007/12/04 by Mats Ehrnström, Mats Ehrnstrom, Ehrnstrom, Mats +2
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #35Q35 #37N10 #76B15 #Aeolian processes and effects #Analysis of PDEs (math.AP) #Coastal and Marine Dynamics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Ocean Waves and Remote Sensing #math-ph #math.AP #math.MP #msc:35Q35 #msc:37N10 #msc:76B15

paper · pdf · doi:10.48550/arxiv.0712.0608

arxiv created 2007/12/04 · openalex publication_date 2007/12/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Steady linear gravity waves of small amplitude travelling on a current of constant vorticity are found. For negative vorticity we show the appearance of internal waves and vortices, wherein the particle trajectories are not any more closed ellipses. For positive vorticity the situation resembles that of Stokes waves, but for large vorticity the trajectories are affected.

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