Geodesic
Numerical-and-analytic method for solving Cauchy problem of one-dimensional gas dynamics
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 4, pp. 444-449

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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. 
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     title = {Numerical-and-analytic method for solving {Cauchy} problem of one-dimensional gas dynamics},
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Sergei I. Senashov; Irina L. Savostyanova; Olga N. Cherepanova. Numerical-and-analytic method for solving Cauchy problem of one-dimensional gas dynamics. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 4, pp. 444-449. http://geodesic.mathdoc.fr/item/JSFU_2022_15_4_a2/