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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 6, Pages 48–57
DOI: https://doi.org/10.26907/0021-3446-2019-6-48-57 (Mi ivm9472) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Application of Riemann method to one system in three-dimensional space

L. B. Mironova

Elabuga Institute of Kazan Federal University, 89 Kazanskaya str., Elabuga, 423600 Russia
Full-text PDF (406 kB) Citations (3)
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DOI: https://doi.org/10.26907/0021-3446-2019-6-48-57
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.
Keywords: hyperbolic system, Riemann method, Cauchy problem, characteristics.
Received: 24.04.2018
Revised: 24.04.2018
Accepted: 26.09.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 6, Pages 42–50
DOI: https://doi.org/10.3103/S1066369X19060057
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: L. B. Mironova, “Application of Riemann method to one system in three-dimensional space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 6, 48–57; Russian Math. (Iz. VUZ), 63:6 (2019), 42–50
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:35
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