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Conditions of Wave Propagation in a Two-Layer Liquid with Free Surface

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We analyze the roots of the dispersion equation for the problem of wave propagation in a two-layer liquid of finite depth with free surface for different values of the ratio of densities. It is shown that the roots obtained in the limiting cases are in good agreement with the previously known results. We prove the existence of two linearly independent solutions of the problem in the first approximation and study the shapes of the free and contact surfaces.

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Authors and Affiliations

  1. Kirovograd State Pedagogical University, Kirovograd, Ukraine

    O. V. Avramenko & V. V. Naradovyi

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

    I. T. Selezov

Authors
  1. O. V. Avramenko
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  2. V. V. Naradovyi
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  3. I. T. Selezov
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 57, No. 1, pp. 105–114, January–April, 2014.

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Avramenko, O.V., Naradovyi, V.V. & Selezov, I.T. Conditions of Wave Propagation in a Two-Layer Liquid with Free Surface. J Math Sci 212, 131–141 (2016). https://doi.org/10.1007/s10958-015-2654-4

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