SU(3) symmetry of the equations of unidimensional gas flow, with arbitrary entropy distribution

DOI10.1063/1.526147zbMath0598.76008OpenAlexW2080554968MaRDI QIDQ3734004

B. Gaffet

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526147

zbMATH Keywords

Euler equationshidden symmetriesbreaking of symmetryLorentz transformationsspecial unitary groupcharacteristic equationsself-similar flowinfinite number of conservation lawsLie group of symmetry of infinite ordermultiplicative factorthree-dimensional Minkowski spaceentropy distributionCauchy integrability conditionconjugate, three-dimensional vectorsone-dimensional gas flowSU(3) group of transformationstraceless second rank tensor

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Applications of Lie groups to the sciences; explicit representations (22E70) Foundations of fluid mechanics (76A02)

Related Items (10)

A class of 1-D gas flows soluble by the inverse scattering transform ⋮ Self-adjoint formulation of spherically symmetric hydrodynamics ⋮ On the integration of the self-similar equations, and the meaning of the Cole–Hopf transformation ⋮ On Tzitzéica Vortex Streets and Their Reciprocals in Subsonic Gas Dynamics ⋮ The Hamiltonian dynamics of self-gravitating liquid and gas ellipsoids ⋮ A note on a class of solitary-like solutions of the Tzitzéica equation generated by a similarity reduction ⋮ Analytic aspects of the Tzitzéica equation: blow-up analysis and existence results ⋮ Bäcklund transformation of partial differential equations from the Painlevé-Gambier classification. II. Tzitzéica equation ⋮ Exact symmetries of unidimensional self-similar flow ⋮ Exact soliton solutions for some nonlinear partial differential equations

Cites Work

• Reciprocal relations in non-steady one-dimensional gasdynamics
• Two hidden symmetries of the equations of ideal gasdynamics, and the general solution in a case of non-uniform entropy distribution

This page was built for publication: SU(3) symmetry of the equations of unidimensional gas flow, with arbitrary entropy distribution