A note on the stability theory of buoyancy-driven ocean currents over a sloping bottom

DOI10.1007/BF00917572zbMath0844.76031OpenAlexW2104234130MaRDI QIDQ1909917

Richard H. Karsten, Gordon E. Swaters

Publication date: 2 September 1996

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00917572

zbMATH Keywords

Lyapunov stabilitynonlinear stabilityPoincaré inequalitylinear momentum invariantnormal-mode stability conditions

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (1)

Evolution of solitary marginal disturbances in baroclinic frontal geostrophic dynamics with dissipation and time-varying background flow

Cites Work

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• A nonlinear Hamiltonian structure for the Euler equations
• Nonlinear stability of fluid and plasma equilibria
• General stability conditions for zonal flows in a one-layer model on the β-plane or the sphere
• Impulse, Flow Force and Variational Principles
• On the baroclinic dynamics, hamiltonian formulation and general stability characteristics of density-driven surface currents and fronts over a sloping continental shelf

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