An exact local conservation theorem for finite-amplitude disturbances to non-parallel shear flows, with remarks on Hamiltonian structure and on Arnol'd's stability theorems

DOI10.1017/S0022112087002209zbMath0646.76030OpenAlexW1966569617WikidataQ115436325 ScholiaQ115436325MaRDI QIDQ3790802

Theodore G. Shepherd, M. E. McIntyre

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1017/s0022112087002209

zbMATH Keywords

Hamiltonian structureaveraging operatorboundary constraintsRayleigh's inflection-point theorem`wave-activity conservation theorem'Arnol'd's stability theoremsconservable, quasi-Eulerian waveDisturbances of arbitrary amplitudeEliassen-Palm wave activityFlow over shallow topographyRossby-wave group velocityself-tuning resonant instabilitiessingle, slowly varying, non-stationary Rossby wavetraintwo-dimensional Eulerian vortex dynamics

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Basic methods in fluid mechanics (76M99) Foundations of fluid mechanics (76A02) Classical field theories (70Sxx)

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