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Model of a strong discontinuity for the equations of spatial long waves propagating in a free-boundary shear flow

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Abstract

The long-wave equations describing three-dimensional shear wave motion of a free-surface ideal fluid are rearranged to a special form and used to describe discontinuous solutions. Relations at the discontinuity front are derived, and stability conditions for the discontinuity are formulated. The problem of determining the flow parameters behind the discontinuity front from known parameters before the front and specified velocity of motion of the front are investigated.

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Authors and Affiliations

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

    V. M. Teshukov & A. K. Khe

Authors
  1. V. M. Teshukov
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  2. A. K. Khe
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Correspondence to A. K. Khe.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 4, pp. 206–213, July–August, 2008.

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Teshukov, V.M., Khe, A.K. Model of a strong discontinuity for the equations of spatial long waves propagating in a free-boundary shear flow. J Appl Mech Tech Phy 49, 693–698 (2008). https://doi.org/10.1007/s10808-008-0086-3

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  • DOI: https://doi.org/10.1007/s10808-008-0086-3

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