 Rossby-gravity waves

The Yanai wave is the $n=0$ branch of the equatorial shallow-water dispersion relation with positive frequency:Its group velocity is $d\omega /dk=c{\omega }^2/({\omega }^2+\beta c)>0$. At low frequency it has westward phase velocity but transports energy eastward; at high frequency its phase and group velocities approach $c$.

Rossby-gravity waves are a type of wave that occurs in rotating fluids, such as the Earth's atmosphere and oceans. They are the result of the interplay between the effects of Earth's rotation (Coriolis effect) and gravity, and they play a crucial role in understanding atmospheric and oceanic dynamics. ### Key Features: 1. **Components**: - **Rossby Waves**: These arise primarily due to the rotation of the Earth and the conservation of angular momentum.