引力水波的流线和粒子路径
On the streamlines and particle paths of gravitational water waves
摘要：
研究了有限深度上的稳态对称重力水波。对于非正涡度，它表明，粒子显示平均向前漂移，并为一类波，我们证明，这种漂移的大小是严格增加从底部到表面。我们还提供了有关流线和粒子轨迹的详细信息。这包括无旋波中粒子的情况。
英文摘要：
We investigate steady symmetric gravity water waves on finite depth. For non-positive vorticity it is shown that the particles display a mean forward drift, and for a class of waves we prove that the size of this drift is strictly increasing from bottom to surface. We also provide detailed information concerning the streamlines and the particle trajectories. This includes the case of particles within irrotational waves.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
