Stability of linear shear flows in shallow water

DOI10.1017/S002211209500423XzbMath0853.76022OpenAlexW2115581656MaRDI QIDQ4887865

Joseph B. Keller, Charles Knessl

Publication date: 6 August 1996

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

Full work available at URL: https://doi.org/10.1017/s002211209500423x

zbMATH Keywords

eigenvalue equationspecial functionsreflection and transmission coefficientslinearized equationsunstable modesover-reflection

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Parallel shear flows in hydrodynamic stability (76E05)

Related Items (6)

Instability of coupled geostrophic density fronts and its nonlinear evolution ⋮ Critical layer and radiative instabilities in shallow-water shear flows ⋮ Over-reflection of acoustic waves by supersonic exponential boundary layer flows ⋮ Instabilities of two-layer shallow-water flows with vertical shear in the rotating annulus ⋮ 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 ⋮ Radiative instability of the flow around a rotating cylinder in a stratified fluid

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