The case in which the water has infinite depth is considered, the effect of surface tension as well.

This is the notes for Chapter 5.4, mainly about ship waves.

how to obtain \(p=a \cos ^2 \theta\) Question: \(p=a \cos ^2 \theta,\) In this context, \(a\) is simply the constant of int...

Consider 1-D gravity-capillary waves, the surface displacement is described by: \[ \begin{equation} \frac{2 \pi \eta}{P}=\lim...

在英文数学论文中，推导公式时连接前后式子的常用连接词和短语可以分为以下几类，以确保逻辑清晰、推导严谨： 1. 表示直接推导或结果 连接词/短语： Therefore Example: "Therefore, Equation (3) can b...

In dispersive water waves (e.g., surface gravity waves on deep or shallow water), several concepts describe how waves travel,...

paper core

Pressure to the surface to a stream notation \(\varpi\): -> r ///////p439 (22) \(\sigma\): -> \(\omega\) \(c\): -> \...

wave patterns 📄P411, Sec 12.4 For a point source \(P\), the characteristics carrying disturbances pass through \(P\) and we...

1-dimensional Gaussian integral \[ \begin{gathered} \int_{-\infty}^{\infty} e^{-x^2} d x=\sqrt{\pi} \\ \int_{-\infty}^{\infty...