Invariant solutions of the gas dynamics equations from 4-parameter three-dimensional subalgebras containing all translations in space and pressure translation

DOI10.33048/semi.2021.18.123zbMath1489.76043OpenAlexW4205999880MaRDI QIDQ2145058

Diilara Takhirovna Siraeva

Publication date: 17 June 2022

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2021.18.123

zbMATH Keywords

exact solutionequation of statelinear velocity fieldgas dynamics equationsinvariant submodeladmissible subalgebra

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15)

Cites Work

• Gasdynamics equations submodels hierarchy in case of state equation with separated density
• The ``PODMODELI program. Gas dynamics
• The lowest-rank monatomic gas submodels constructed on the basis of three-dimensional symmetry subalgebras
• Vortex scattering of monatomic gas along plane curves
• Invariant solution of dynamics of polytropic gas generated by three-dimensional algebras of symmetry
• Group-theoretical solutions to gas dynamic equations generated by three-dimensional Lie subalgebras
• Optimal system for the sum of two ideals admitted by the hydrodynamic type equations
• The Canonical Form of the Rank 2 Invariant Submodels of Evolutionary Type in Ideal Hydrodynamics
• Invariant and partially invariant solutions with respect to Galilean shifts and dilatation
• Optimal system of non-similar subalgebras of sum of two ideals
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