Group Analysis of the One-Dimensional Gas Dynamics Equations in Lagrangian Coordinates and Conservation Laws
Author:
Publisher
Pleiades Publishing Ltd
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Link
https://link.springer.com/content/pdf/10.1134/S0021894420020054.pdf
Reference23 articles.
1. V. A. Dorodnitsyn, R. Kozlov, and S. V. Meleshko, “Analysis of 1D Gas Dynamics Equations of a Polytropic Gas in Lagrangian Coordinates: Symmetry Classification, Conservation Laws, Difference Schemes,” Comm. Nonlinear Sci. Numer. Simulat. 74, 201–218 (2019).
2. E. Noether, “Invariante Variationsprobleme,” Transport Theory Statist. Phys. 1 (3), 186–207 (1971).
3. N. H. Ibragimov, “A New Conservation Theorem,” J. Math. Anal. Appl. 333, 311–328 (2007).
4. G. M. Webb and G. P. Zank, “Fluid Relabelling Symmetries, Lie Point Symmetries and the Lagrangian Map in Magnetohydrodynamics and Gas Dynamics,” J. Phys., A: Math. Theor. 40, 545–579 (2007).
5. G. M. Webb and G. P. Zank, “Scaling Symmetries, Conservation Laws and Action Principles in One-Dimensional Gas Dynamics,” J. Phys., A: Math. Theor. 42, 475205 (2009).
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