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Application of Riemann Method to One System in Three-Dimensional Space

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Abstract

For a system of three equations of the second order we prove existence and uniqueness of solutions to the Cauchy problem and to problem with conditions on characteristics and a free surface. We construct solutions to these problems in terms of the Riemann matrix.

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Authors and Affiliations

  1. Elabuga Institute of Kazan Federal University, 89 Kazanskaya str., Elabuga, 423600, Russia

    L. B. Mironova

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  1. L. B. Mironova
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Correspondence to L. B. Mironova.

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Russian Text © The Author(s), 2019, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, No. 6, pp. 48–57.

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Mironova, L.B. Application of Riemann Method to One System in Three-Dimensional Space. Russ Math. 63, 42–50 (2019). https://doi.org/10.3103/S1066369X19060057

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  • DOI: https://doi.org/10.3103/S1066369X19060057

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