 Taylor–Goldstein equation

The Taylor–Goldstein equation governs linear two-dimensional disturbances of an inviscid, vertically sheared, stably stratified parallel flow. For horizontal phase velocity $c$, base velocity $U(z)$, buoyancy frequency $N(z)$, and horizontal wavenumber $k$,

The Taylor–Goldstein equation is a fundamental equation in fluid dynamics and hydrodynamic stability theory, particularly in the study of parallel flows and stability analyses of shear flows. It derives from the linear stability analysis of a basic state in a fluid that is affected by small disturbances.