论文标题
剪切电流的波浪，用于任意惯性观众
Waves on shearing current for an arbitrary inertial viewer
论文作者
论文摘要
现实世界的水波经常在电流上传播。而且，对于沿海和海洋工程师来说，对波和电流的测量是一项重要任务。现代海洋测量技术（即无人自动驾驶汽车，无人机）通常以相对于电流和波浪的速度不同。已经表明，由于瓦利利不变性的损失，观看速度对波和均匀电流问题的数学形式具有非平凡的影响。本文证明，剪切电流出现了类似的复杂性。这项工作为任意惯性查看者提供了波浪和剪切电流边界值问题的广义公式。还得出了恒定电流剪切特种情况的移动查看器分散关系。
Real world water waves often propagate on current. And, the measurement of waves and current is an important task for coastal and marine engineers. Modern marine measurement technologies (i.e. unmanned autonomous vehicles, drones) often propagate with different velocities relative to the current and waves. It has been shown that, due to a loss of Galilean invariance, viewer velocity has a non-trivial effect on the mathematical form of the wave and uniform current problem. It is demonstrated herein that similar complexities arise for shearing currents. The work provides a generalized formulation of the wave and shearing current boundary value problem for an arbitrary inertial viewer. The moving viewer dispersion relation for the special case of a constant current shear is also derived.
