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Propagation of perturbations in a two-layer stratified fluid with an interface excited by moving sources

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Abstract

Propagation of small perturbations in a two-layer inviscid stratified fluid is studied. It is assumed that the higher density fluid occupies the lower unbounded half-space, while the lower density fluid occupies the upper unbounded half-space. The source of the excitation is a plane wave traveling along the interface of the fluids. An explicit analytical solution to the problem is constructed, and its existence and uniqueness are proved. The long-time wave pattern developing in the fluids is analyzed.

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Authors and Affiliations

  1. Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia

    L. V. Perova

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  1. L. V. Perova
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Correspondence to L. V. Perova.

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Original Russian Text © L.V. Perova, 2008, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2008, Vol. 48, No. 6, pp. 1062–1086.

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Perova, L.V. Propagation of perturbations in a two-layer stratified fluid with an interface excited by moving sources. Comput. Math. and Math. Phys. 48, 1001–1023 (2008). https://doi.org/10.1134/S0965542508060110

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  • DOI: https://doi.org/10.1134/S0965542508060110

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