A Conservation Law for Small-Amplitude Quasi-Geostrophic Disturbances on a Zonally Asymmetric Basic Flow

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Abstract
A quadratic conservation law is derived for small-amplitude quasi-geostrophic disturbances on a wavy basic state. The law may be useful for describing the three-dimensional propagation of disturbances on time-averaged flows. This parallels the use of the generalized Eliassen-Palm theorem in the description of waves propagating on zonally-averaged flows.