A number theoretical observation of a resonant interaction of Rossby waves

Nobu Kishimoto; Tsuyoshi Yoneda

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arXiv · 1409.1031

A number theoretical observation of a resonant interaction of Rossby waves

Nobu Kishimoto·Tsuyoshi Yoneda

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Abstract

Rossby waves are generally expected to dominate the $\beta$ plane dynamics in geophysics, and here in this paper we give a number theoretical observation of the resonant interaction with a Diophantine equation. The set of resonant frequencies does not have any frequency on the horizontal axis. We also give several clusters of resonant frequencies.

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Nobu Kishimoto, Tsuyoshi Yoneda. 2014-09-03. A number theoretical observation of a resonant interaction of Rossby waves. https://arxiv.org/abs/1409.1031

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