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Three-dimensional steady flows of stratified fluid and internal waves

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Abstract

A study is made of three-dimensional steady flows of an ideal heavy incompressible fluid stratified in each layer over a flat or asymptotically flat base. Mixed Euler-Lagrange variables are chosen in which surfaces of constant density, including the layer division boundaries, become flat and parallel to the plane of the base. The original problem is reduced to a nonlinear boundary-value problem for a system of three quasilinear equations in a plane layer. This system of equations is used to construct an asymptotic theory of long waves in the three-dimensional case, which has particular solutions in the first approximation in the form of solitons and soliton systems.

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Authors and Affiliations

  1. Moscow

    A. M. Ter-Krikorov

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  1. A. M. Ter-Krikorov
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 127–132, May–June, 1985.

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Ter-Krikorov, A.M. Three-dimensional steady flows of stratified fluid and internal waves. Fluid Dyn 20, 445–449 (1985). https://doi.org/10.1007/BF01050000

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  • DOI: https://doi.org/10.1007/BF01050000

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