The Canonical Form of the Rank 2 Invariant Submodels of Evolutionary Type in Ideal Hydrodynamics
- Autores: Siraeva D.1
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Afiliações:
- Mavlyutov Institute of Mechanics
- Edição: Volume 13, Nº 2 (2019)
- Páginas: 340-349
- Seção: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213195
- DOI: https://doi.org/10.1134/S1990478919020157
- ID: 213195
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Resumo
The equations of ideal hydrodynamics are considered with the state equation in the form of the pressure represented as the sum of density and entropy functions. Some twelve-dimensional Lie algebra corresponds to the admissible group of transformations. Basing on the two-dimensional subalgebras of the Lie algebra, we construct the rank 2 invariant submodels of canonical form and evolutionary type. The form is refined of the rank 2 invariant submodels of canonical form and evolutionary type for the eleven-dimensional Lie algebra admitted by the gas dynamics equations with the state equation of the general type.
Sobre autores
D. Siraeva
Mavlyutov Institute of Mechanics
Autor responsável pela correspondência
Email: sirdilara@gmail.com
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