Structure formation in a zonal barotropic current: a treatment via the centre manifold reduction

DOI10.1098/RSPA.1999.0391zbMath0954.76028OpenAlexW2113823959MaRDI QIDQ4262177

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Publication date: 29 November 1999

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1999.0391

zbMATH Keywords

critical Reynolds numbercompletely integrable systemcenter manifold reductionquasi-geostrophic potential vorticity equationnormal form analysis\(f\) planebifurcating equilibrium statesfull classification of bifurcating solutionsjet-like barotropic currentspermanent wave solutionsreversible 1:1 resonanceviscous barotropic zonal current

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Stability and instability of geophysical and astrophysical flows (76E20)

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