Counting of discrete Rossby/drift wave resonant triads

2013/09/02 by Miguel D. Bustamante, Umar Hayat, Bustamante, Miguel D. +5 · 2 citations
Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.1309.0405

arxiv created 2013/09/02 · arxiv updated 2013/09/03

Abstract

The purpose of this note is to remove the confusion about counting of resonant wave triads for Rossby and drift waves in the context of the Charney-Hasegawa-Mima equation. In particular, we aim to point out a major error of over-counting of triads in the paper "Discrete exact and quasi-resonances of Rossby/drift waves on beta-plane with periodic boundary conditions", by Kartashov and Kartashova, arXiv:1307.8272v1 [physics.flu-dyn] (2013).

Citations

• Discrete exact and quasi-resonances of Rossby/drift waves on \b-plane with periodic boundary conditions

Cited by

• Counting of discrete Rossby/drift wave resonant triads (again)
• Final comment to the results of Bustamante et al. on discrete Rossby/drift wave resonant and quasi-resonant triads

Related

• Counting of discrete Rossby/drift wave resonant triads (again)
• Final comment to the results of Bustamante et al. on discrete Rossby/drift wave resonant and quasi-resonant triads
• The arithmetic geometry of resonant Rossby wave triads
• Discrete exact and quasi-resonances of Rossby/drift waves on \b-plane with periodic boundary conditions
• A number theoretical observation of a resonant interaction of Rossby waves