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Concentrated solutions for internal wave equations

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Abstract

We consider the propagation of internal gravity waves in a stratified fluid layer with a current. Formal asymptotic solutions concentrated in the horizontal plane are constructed for the linearized system of equations in the Boussinesq approximation. The complex space-time ray method is used.

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Literature cited

  1. V. M. Babich and V. V. Ulin, “Complex ray solutions and eigenfunctions concentrated in the neighborhood of a closed geodesic,” J. Sov. Math.,20, No. 1 (1982).

  2. V. M. Babich and V. V. Ulin, “The complex space-time ray method and ‘quasiphotons’,” J. Sov. Math.,24, No. 3 (1984).

  3. V. E. Nomofilov, “Asymptotic solutions of a second-order system of equations concentrated in the neighborhood of a ray,” J. Sov. Math.,20, No. 1 (1982).

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 148, pp. 120–132, 1985.

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Markov, V.A. Concentrated solutions for internal wave equations. J Math Sci 38, 1645–1655 (1987). https://doi.org/10.1007/BF01100146

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  • DOI: https://doi.org/10.1007/BF01100146

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