Generalization of Cauchy invariants for equatorial β- plane flows
Publication date: Available online 8 January 2019
Source: Deep Sea Research Part II: Topical Studies in Oceanography
Author(s): Anatoly Abrashkin
Abstract
Three Lagrangian invariants are shown to exist for flows in the equatorial region in the β - plane approximation. They extend the Cauchy invariants to a non-rotating fluid. The relationship between these generalized invariants and the results following from Kelvin's and Ertel's theorems is ascertained. Explicit expressions of the invariants for equatorially trapped waves and equatorial Gerstner waves are presented.
Publisher URL: https://www.sciencedirect.com/science/article/pii/S0967064518300869
DOI: S0967064518300869
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