Linear pressure equation for rotating stratified flow
= Linear pressure equation for rotating stratified flow
{title2=$Q=\rho_0fN^2q$}
With downward buoyancy $b=g\rho\prime/\rho_0$ in a uniform rotating <Boussinesq approximation>, $q=\zeta-fb_z/N^2$ is time-independent. The linear pressure obeys $\nabla^2p_{tt}+f^2p_{zz}+N^2\nabla_H^2p=\rho_0fN^2q$. The initial <potential vorticity> supplies the steady pressure source; nonzero-frequency <inertia-gravity waves> have zero perturbation PV.