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Journal of Siberian Federal University. Mathematics & Physics, 2022, Volume 15, Issue 4, Pages 444–449
DOI: https://doi.org/10.17516/1997-1397-2022-15-4-444-449 (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
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DOI: https://doi.org/10.17516/1997-1397-2022-15-4-444-449
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.
Received: 10.02.2022
Received in revised form: 21.03.2022
Accepted: 12.05.2022
Document Type: Article
UDC: 539.374
Language: English
Citation: Sergei I. Senashov, Irina L. Savostyanova, Olga N. Cherepanova, “Numerical-and-analytic method for solving Cauchy problem of one-dimensional gas dynamics”, J. Sib. Fed. Univ. Math. Phys., 15:4 (2022), 444–449
Citation in format AMSBIB
\Bibitem{SenSavChe22}
\by Sergei~I.~Senashov, Irina~L.~Savostyanova, Olga~N.~Cherepanova
\paper Numerical-and-analytic method for solving Cauchy problem of one-dimensional gas dynamics
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2022
\vol 15
\issue 4
\pages 444--449
\mathnet{http://mi.mathnet.ru/jsfu1010}
\crossref{https://doi.org/10.17516/1997-1397-2022-15-4-444-449}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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