Energy partition of rotating internal waves (source code)

= Energy partition of rotating internal waves
{title2=$\langle K\rangle=\langle A\rangle+2\langle K_y\rangle$}

For a plane <inertia-gravity wave> independent of one horizontal coordinate, period-mean kinetic and <available potential energy> obey $\langle K\rangle-\langle A\rangle=2\langle K_y\rangle$. The transverse rotating velocity is in quadrature with the in-plane velocity. The modified oscillator balance is $\langle K_{xz}\rangle=\langle A\rangle+\langle K_y\rangle$; ordinary kinetic/potential equipartition occurs only when the transverse amplitude vanishes.