The Canonical Form of the Rank 2 Invariant Submodels of Evolutionary Type in Ideal Hydrodynamics
- Authors: Siraeva D.T.1
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Affiliations:
- Mavlyutov Institute of Mechanics
- Issue: Vol 13, No 2 (2019)
- Pages: 340-349
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213195
- DOI: https://doi.org/10.1134/S1990478919020157
- ID: 213195
Cite item
Abstract
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.
About the authors
D. T. Siraeva
Mavlyutov Institute of Mechanics
Author for correspondence.
Email: sirdilara@gmail.com
Russian Federation, pr. Oktyabrya 71, Ufa, 450054