= Dispersion relation of a semi-infinite Eady edge wave
{title2=$c=\Lambda|f_0|/(NK)$}
For basic shear $U(z)=\Lambda z$ with a resting lower boundary, the <rigid-boundary buoyancy condition for quasi-geostrophic waves> and the decaying vertical exponential give
$$
c=\frac\Lambda m,\qquad \omega=kc,\qquad m=NK/|f_0|.
$$
This is real. The edge wave propagates in the same laboratory direction as the basic flow above its resting lower wall. If the basic buoyancy is $M^2y+N^2z$, then $\Lambda=-M^2/f_0$.
Back to article page
