Instabilities of coupled density fronts and their nonlinear evolution in the two-layer rotating shallow-water model: influence of the lower layer and of the topography

DOI10.1017/jfm.2012.556zbMath1284.76163OpenAlexW2124827466MaRDI QIDQ5406509

Vladimir Zeitlin, Bruno Ribstein

Publication date: 1 April 2014

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jfm.2012.556

zbMATH Keywords

instabilityrotating flowsgravity currents

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05) Interfacial stability and instability in hydrodynamic stability (76E17) Stability and instability of geophysical and astrophysical flows (76E20)

Cites Work

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• Critical layer instability as a resonance between a non-singular mode and continuous modes
• Stability of linear shear flows in shallow water
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• Double Kelvin waves with continuous depth profiles

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