Linear water waves with vorticity: rotational features and particle paths

Research output: Contribution to journalArticle

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.

Details

Authors
  • Mats Ehrnström
  • Gabriele Villari
Organisations
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics

Keywords

  • Particle paths, Steady water waves, Vorticity, Phase portrait, Trajectories
Original languageEnglish
Pages (from-to)1888-1909
JournalJournal of Differential Equations
Volume244
Issue number8
Publication statusPublished - 2008
Publication categoryResearch
Peer-reviewedYes

Related research output

Ehrnström, M., 2008, KFS AB. 96 p.

Research output: ThesisDoctoral Thesis (compilation)

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