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Topography and Dispersion Effects in Bottom Layer Dynamics

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Abstract

A hyperbolic model of a shallow water flow is considered with allowance for nonlinear and dispersion effects. The structure of traveling waves above a flat bottom is studied. Stability of small disturbances of a homogeneous flow and development of instability of a nonstationary flow above an inclined bottom are analyzed.

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Authors and Affiliations

  1. Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090

    K. N. Gavrilova

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  1. K. N. Gavrilova
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Gavrilova, K.N. Topography and Dispersion Effects in Bottom Layer Dynamics. Journal of Applied Mechanics and Technical Physics 45, 37–44 (2004). https://doi.org/10.1023/B:JAMT.0000009172.77405.00

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  • DOI: https://doi.org/10.1023/B:JAMT.0000009172.77405.00

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