Linear water waves with vorticity:: Rotational features and particle paths

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:244

Article

Ehmstroem, Mats¹  Villari, Gabriele² 

[1] Lund Univ, Dept Math, S-22100 Lund, Sweden

[2] Dipartimento Matemat, I-50134 Florence, Italy

关键词: steady water waves;    vorticity;    particle paths;    trajectories;    phase portrait;   

DOI  :  10.1016/j.jde.2008.01.012

来源: Elsevier

【 摘 要 】

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. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free