Linear water waves with vorticity: Rotational features and particle paths

Department of Mathematics, Lund University, PO Box 118, 221 00 Lund, Sweden; Dipartimento di Matematica, Viale Morgagni 67/A, 50134 Firenze, Italy
Journal of Differential Equations (Impact Factor: 1.48). 01/2008; DOI: 10.1016/j.jde.2008.01.012
Source: arXiv

ABSTRACT We study steady linear gravity waves of small amplitude travelling on a current of constant vorticity. For positive vorticity the situation resembles that of Stokes waves, but if the vorticity is large enough the particle trajectories are affected. For negative vorticity we show that there may appear internal waves and vortices, wherein the particle trajectories are not ellipses.

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