New class of symmetries and exact solution to the unsteady equations of adiabatic gas dynamics

DOI10.1016/J.CHAOS.2004.09.086zbMath1135.76335OpenAlexW2080851920MaRDI QIDQ1771797

Souichi Murata

Publication date: 18 April 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.09.086

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (3)

Calculation of Four-Dimensional Unsteady Gas Flow via Different Quadrature Schemes and Runge-Kutta 4th Order Method ⋮ Adiabatic invariants induced by perturbation to form invariance of mechanico-electrical systems ⋮ Analysis of \((3 + 1)\)-dimensional unsteady gas flow using optimal system of Lie symmetries

Cites Work

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• Exact solutions to the unsteady equations of perfect gases through Lie group analysis and substitution principles
• Renormalization group symmetry method and gas dynamics
• Exact solutions to the equations of perfect gases through Lie group analysis and substitution principles
• Group analysis and renormgroup symmetries
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
• Functional self-similarity and renormalization group symmetry in mathematical physics

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