论文标题
水浪问题与倾斜的墙壁
Water wave problem with inclined walls
论文作者
论文摘要
我们研究具有45o斜率的侧面的二维对称三角形通道中的自由地表水波。我们开发了小幅度非线性波的模型，扩展了已经考虑线性问题的早期研究。我们看到，启发式小振幅扩展的结合导致了一个相对简单的系统，然后我们用来研究低频模式的相互作用。形式主义依赖于线性问题的普通模式的明确结构，以及一种代表自由表面的新方法。我们认为该结构可以应用于更一般的几何形状。我们还检查了最低模式的光谱截断的结构和一些动力学特征。
We study free surface water waves in a 2-D symmetric triangular channel with sides that have a 45o slope. We develop models for small amplitude nonlinear waves, extending earlier studies that have considered the linearized problem. We see that a combination of heuristic small amplitude expansions lead to a relatively simple system that we then use to study interactions of low frequency modes. The formalism relies on an explicit construction of the normal modes of the linear problem and a new way to represent the free surface. We argue that the construction can be applied to more general geometries. We also examine the structure and some dynamical features of spectral truncations for the lowest even modes.
