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Internal Solitary Waves in a Layered Weakly Stratified Flow

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The Ocean in Motion

Part of the book series: Springer Oceanography ((SPRINGEROCEAN))

Abstract

The problem on internal waves in a weakly stratified two-layered flow is studied semi-analytically. The long-wave model describing travelling waves is constructed by means of scaling procedure with a small Boussinesq parameter. It is demonstrated that solitary wave regimes can be affected by the Kelvin–Helmholtz instability arising due to interfacial velocity shear in the upstream flow.

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Acknowledgements

This work was supported by Russian Foundation for Basic Research (grant No 15-01-03942). RYuT acknowledges the support by Russian Sciences Foundation (grant No 16–17-10149).

Author information

Authors and Affiliations

  1. Lavrentyev Institute of Hydrodynamics, Novosibirsk State University, Novosibirsk, 630090, Russia

    Nikolay Makarenko & Janna Maltseva

  2. Shirshov Institute of Oceanology, Moscow, 117997, Russia

    Roman Tarakanov

  3. Aix-Marseille Universite, Marseille 06, France

    Kseniya Ivanova

Authors
  1. Nikolay Makarenko
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  2. Janna Maltseva
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  3. Roman Tarakanov
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  4. Kseniya Ivanova
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Corresponding author

Correspondence to Nikolay Makarenko .

Editor information

Editors and Affiliations

  1. Instituto Pluridisciplinar, Universidad Complutense de Madrid, Madrid, Spain

    Manuel G. Velarde

  2. Shirshov Institute of Oceanology, Russian Academy of Sciences, Moscow, Russia

    Roman Yu. Tarakanov

  3. Department of Arctic Technology, University Center in Svalbard, Longyearbyen, Norway

    Alexey V. Marchenko

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Makarenko, N., Maltseva, J., Tarakanov, R., Ivanova, K. (2018). Internal Solitary Waves in a Layered Weakly Stratified Flow. In: Velarde, M., Tarakanov, R., Marchenko, A. (eds) The Ocean in Motion. Springer Oceanography. Springer, Cham. https://doi.org/10.1007/978-3-319-71934-4_7

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