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Showing 2018 · math-phShow all
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math-ph2018★ 24 cited
One-dimensional gas dynamics equations of a polytropic gas in Lagrangian coordinates: symmetry classification, conservation laws, difference schemes
Vladimir A. Dorodnitsyn, Roman Kozlov, Sergey V. Meleshko
Lie point symmetries of the one-dimensional gas dynamics equations of a polytropic gas in Lagrangian coordinates are considered. Complete Lie group classification of these equation…
math-ph2018★ 20 cited
Conservation Laws of the Two-Dimensional Gas Dynamics Equations
E. I. Kaptsov, S. V. Meleshko
Two-dimensional gas dynamics equations in mass Lagrangian coordinates are studied in this paper. The equations describing these flows are reduced to two Euler-Lagrange equations. U…