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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2019, Volume 4, Issue 1, Pages 18–32
DOI: https://doi.org/10.24411/2500-0101-2019-14102 (Mi chfmj123) 		 
Mathematics

Classification if rank 2 stationary submodels of ideal hydrodynamics

D. T. Siraeva

Mavlyutov Institute of Mechanics, Ufa Federal Research Center of the Russian Academy of Sciences, Ufa, Russia
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DOI: https://doi.org/10.24411/2500-0101-2019-14102
Abstract: For two-dimensional subalgebras of the twelve-dimensional Lie algebra, admitted by the equations of the ideal hydrodynamics with the equation of state in the form of pressure, represented as the sum of the density and entropy functions, invariant submodels of rank 2 of the canonical form of stationary type are constructed. The canonical form for rank 2 invariant submodels of stationary type of the eleven-dimensional Lie algebra, admitted by the equations of gas dynamics with the state equation of a general form, is specified.
Keywords: ideal hydrodynamics equations, equation of state, permissible subalgebra, representation of invariant solution, invariant submodel, stationary type of submodel, canonical form of submodel.
Funding agency Grant number
Russian Foundation for Basic Research 18-29-10071
Ministry of Science and Higher Education of the Russian Federation 0246-2019-0052
The work is supported by Russian Foundation of Basic Research, grant 18-29-10071, and partially supported by State Scientific Task 0246-2019-0052.
Received: 27.12.2018
Revised: 27.02.2019
Bibliographic databases:
Document Type: Article
UDC: 517.958:533
Language: Russian
Citation: D. T. Siraeva, “Classification if rank 2 stationary submodels of ideal hydrodynamics”, Chelyab. Fiz.-Mat. Zh., 4:1 (2019), 18–32
Citation in format AMSBIB
\Bibitem{Sir19}
\by D.~T.~Siraeva
\paper Classification if rank 2 stationary submodels of ideal hydrodynamics
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2019
\vol 4
\issue 1
\pages 18--32
\mathnet{http://mi.mathnet.ru/chfmj123}
\crossref{https://doi.org/10.24411/2500-0101-2019-14102}
\elib{https://elibrary.ru/item.asp?id=37152100}
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