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Conditions of Wave Propagation in a Semiinfinite Three-Layer Hydrodynamic System with Rigid Lid

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We study a weakly nonlinear problem of propagation of internal wave packets in a “layer with rigid lid–layer–half space” system on the basis of which we construct three linear problems for the scale components of the velocity potentials and deviations of the contact surfaces. We establish the conditions of wave propagation in the first approximation for different ratios of densities in the hydrodynamic system and analyze the dependences of possible frequencies on the thickness of the top layer and wave number. The influence of the presence of surface tension on the contact surfaces is investigated.

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Authors and Affiliations

  1. Vynnychenko Central-Ukrainian State Pedagogical University, Kropyvnyts’kyi, Ukraine

    О. V. Avramenko, V. V. Naradovyi & М. V. Lunyova

  2. Institute of Hydromechanics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    І. Т. Selezov

Authors
  1. О. V. Avramenko
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  2. V. V. Naradovyi
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  3. М. V. Lunyova
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  4. І. Т. Selezov
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 60, No. 4, pp. 137–151, October–December, 2017.

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Avramenko, О.V., Naradovyi, V.V., Lunyova, М.V. et al. Conditions of Wave Propagation in a Semiinfinite Three-Layer Hydrodynamic System with Rigid Lid. J Math Sci 247, 173–190 (2020). https://doi.org/10.1007/s10958-020-04795-0

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  • DOI: https://doi.org/10.1007/s10958-020-04795-0

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