Sloping-boundary Eady edge wave (source code)

= Sloping-boundary Eady edge wave
{title2=$c=(\Lambda-\alpha N^2/f_0)/\mu$}

For a semi-infinite stratified fluid with <thermal wind> $U=\Lambda z$ above a gently sloping boundary $z=\alpha y$, a zero-interior-<potential vorticity> perturbation decays as $e^{-\mu z}$, where $\mu=N|k|/|f_0|$. The boundary <buoyancy perturbation> obeys a single oscillatory equation with <phase velocity> $c=(\Lambda-\alpha N^2/f_0)/\mu$. The topographic and thermal-wind contributions cancel when the boundary follows a background <isopycnal>.