Exact symmetries of unidimensional self-similar flow

DOI10.1063/1.526839zbMath0573.76063OpenAlexW2095403301MaRDI QIDQ3691293

B. Gaffet

Publication date: 1985

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526839

zbMATH Keywords

Riemann invariantsisentropic flowadiabatic inviscid fluidarbitrary polytropic indexarbitrary power-law entropy distributionself-similar unidimensional flow

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15)

Cites Work

• An infinite Lie group of symmetry of one-dimensional gas flow, for a class of entropy distributions
• Two hidden symmetries of the equations of ideal gasdynamics, and the general solution in a case of non-uniform entropy distribution
• SU(3) symmetry of the equations of unidimensional gas flow, with arbitrary entropy distribution

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