Particle trajectories in solitary water waves
Particle trajectories in solitary water waves
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DOI：
10.1090/s0273-0979-07-01159-7
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发表时间：
2007-01-01
影响因子：
1.3
通讯作者：
Escher, Joachim
中科院分区：
文献类型：
--
作者：
Constantin, Adrian;Escher, Joachim
分析了平面无穷域中谐波函数的自由边界问题，证明了在孤立水波中，每个粒子沿波的方向运动，但速度比波速慢。当孤波传播时，位于波峰前面的所有粒子都被抬升，而波峰后面的粒子则经历向下运动，粒子轨迹在平床上方的高度渐近相同。
Analyzing a free boundary problem for harmonic functions in an infinite planar domain, we prove that in a solitary water wave each particle is transported in the wave direction but slower than the wave speed. As the solitary wave propagates, all particles located ahead of the wave crest are lifted, while those behind it experience a downward motion, with the particle trajectory having asymptotically the same height above the flat bed.