Scaling symmetries, conservation laws and action principles in one-dimensional gas dynamics
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Publication:3402116
DOI10.1088/1751-8113/42/47/475205zbMath1183.82061OpenAlexW2055423168MaRDI QIDQ3402116
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Publication date: 2 February 2010
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1751-8113/42/47/475205
Gas dynamics (general theory) (76N15) Kinetic theory of gases in time-dependent statistical mechanics (82C40)
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Group analysis of the one-dimensional gas dynamics equations in Lagrangian coordinates and conservation laws ⋮ One-Dimensional Flows of a Polytropic Gas: Lie Group Classification, Conservation Laws, Invariant and Conservative Difference Schemes ⋮ On magnetohydrodynamic gauge field theory ⋮ One-dimensional gas dynamics equations of a polytropic gas in Lagrangian coordinates: symmetry classification, conservation laws, difference schemes ⋮ Generalized Riemann waves and their adjoinment through a shock wave ⋮ Analysis of the one-dimensional Euler-Lagrange equation of continuum mechanics with a Lagrangian of a special form ⋮ Multi-symplectic, Lagrangian, one-dimensional gas dynamics
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