English

Linear water waves with vorticity: rotational features and particle paths

Mathematical Physics 2007-12-05 v1 Analysis of PDEs math.MP

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.

Keywords

Cite

@article{arxiv.0712.0608,
  title  = {Linear water waves with vorticity: rotational features and particle paths},
  author = {Mats Ehrnstrom and Gabriele Villari},
  journal= {arXiv preprint arXiv:0712.0608},
  year   = {2007}
}
R2 v1 2026-06-21T09:50:27.670Z