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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2022 Volume 15, Issue 4, Pages 444–449 (Mi jsfu1010)

Numerical-and-analytic method for solving Cauchy problem of one-dimensional gas dynamics

Sergei I. Senashova, Irina L. Savostyanovaa, Olga N. Cherepanovab

a Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, Russian Federation
b Siberian Federal University, Krasnoyarsk, Russian Federation

Abstract: The equations describing the flow of a one-dimensional barotropic perfect gas are considered in this paper. Conservation laws of a special kind were found for these equations. The Cauchy problem is reduced to several quadratures along a curve on which boundary conditions are set using these conservation laws.

Keywords: one-dimensional barotropic perfect gas, Cauchy problem, conservation laws.

UDC: 539.374

Received: 10.02.2022
Received in revised form: 21.03.2022
Accepted: 12.05.2022

Language: English

DOI: 10.17516/1997-1397-2022-15-4-444-449



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