论文标题
时间依赖的分析解决方案，用于不同深度海上的水波
Time-dependent analytic solutions for water waves above sea of varying depths
论文作者
论文摘要
我们研究了一个流体动力方程系统，该系统具有一些近似值，能够用时间依赖性的自相似Ansatz来描述开阔海洋中的海啸传播。我们发现了分析解决方案的波高和速度如何在恒定和线性海底功能的时间和空间中表现出来。首先，我们在开阔的水上研究波浪，那里的海床可以被认为是相对恒定的，离海岸足够远。在研究的第二部分中，我们还考虑了一个倾斜的海床。最后，我们应用了最常见的行驶波Ansatz，并呈现几乎微不足道的解决方案。
We investigate a hydrodynamic equation system which - with some approximation - is capable to describe the tsunami propagation in the open ocean with the time-dependent self-similar Ansatz. We found analytic solutions how the wave height and velocity behave in time and space for constant and linear seabed functions. First we study waves on open water, where the seabed can be considered relatively constant, sufficiently far from the shore. In the second part of the study we also consider a seabed which is oblique. Finally, we apply the most common traveling wave Ansatz and present almost trivial solutions as well.
