This article is cited 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

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.

UDC: 517.956

Received: 24.04.2018
Revised: 24.04.2018
Accepted: 26.09.2018

DOI: 10.26907/0021-3446-2019-6-48-57

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2019, 63:6, 42–50

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