Journal of Siberian Federal University. Mathematics & Physics: Numerical-and-analytic Method for Solving Cauchy Problem of One-dimensional Gas Dynamics

Journal of Siberian Federal University. Mathematics & Physics / Numerical-and-analytic Method for Solving Cauchy Problem of One-dimensional Gas Dynamics

Issue: Journal of Siberian Federal University. Mathematics & Physics. 2022 15 (4)
Authors: Senashov, Sergei I.; Savostyanova, Irina L.; Cherepanova, Olga N.
Contact information: Senashov, Sergei I.: Reshetnev Siberian State University of Science and Technology Krasnoyarsk, Russian Federation; ; Savostyanova, Irina L.: Reshetnev Siberian State University of Science and Technology Krasnoyarsk, Russian Federation; OCRID: 0000-0002-9675-7109; Cherepanova, Olga N.: Siberian Federal University Krasnoyarsk, Russian Federation;
Keywords: one-dimensional barotropic perfect gas; Cauchy problem; conservation laws
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
Pages: 444–449
DOI: 10.17516/1997-1397-2022-15-4-444-449
Paper at repository of SibFU: https://elib.sfu-kras.ru/handle/2311/147489