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Symmetries and solutions to equations of two-dimensional motions of polytropic gas. (Russian. English summary) Zbl 1150.76464
Summary: The optimal system of subalgebras for the 9-dimensional Lie algebra is constructed. This system classifies invariant submodels of equation governing the motion of polytropic gas with polytrope-exponent \(\gamma = 2\). Invariant submodels of rank equal to 0 are found and their physical properties are described.

MSC:
76M60 Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics
76N15 Gas dynamics, general
34A05 Explicit solutions, first integrals of ordinary differential equations
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