Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. Prepublication
- Authors
- Andreev, Viktor K.
- Contact information
- Andreev, Viktor K. : Institute of Computational Modelling SB RAS Krasnoyarsk, Russian Federation;
- Keywords
- equations of one-dimensional gas dynamics; Lagrangian variables; Lie group generators; state equations; group classification
- Abstract
The results of solving the group classification problem of a universal nonlinear equation of one-dimensional gas flows with plane, cylindrical and spherical waves are presented. All specializations of the state equation are found when the main group is expanded. In particular, in the case of plane waves, in addition to the known ones, a polytropic gas with an adiabatic index of γ = 5 is released
- Pages
- 694–701
- EDN
- UQMPMC
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/156662
Journal of Siberian Federal University. Mathematics & Physics / Group Classification of One Equations that Arised when De- scribing One-dimensional Gas Motions
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