3 years ago

Generalization of Cauchy invariants for equatorial β- plane flows

Anatoly Abrashkin

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.

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