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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2023, Volume 29, Number 2, Pages 260–270
DOI: https://doi.org/10.21538/0134-4889-2023-29-2-260-270
(Mi timm2012)
 

On the Group Classification of Ideal Gas-Dynamic Relaxing Media

S. V. Khabirov

Mavlyutov Institute of Mechanics, Ufa Centre of the Russian Academy of Sciences
References:
Abstract: The group analysis of differential equations of ideal gas dynamics is most developed. Earlier, the state equations for thermodynamic parameters were assumed to be time-independent. The time dependence may take place for relaxing media, for example, as a result of rheology or due to the energy averaging of processes in a multiphase medium. The problem of group analysis of relaxing media is posed. First, equivalence transformations are calculated that change only the state equations. Next, the problem of group classification is solved: it is required to find, up to equivalence transformations, classes of state equations for which the admitted group is extended. This problem is partially solved in the present paper.
Keywords: gas dynamics, relaxing state equations, equivalence transformations, group classification.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0246-2019-0052
The work was supported under state contract no. 0246-2019-0052.
Received: 22.02.2023
Revised: 10.04.2023
Accepted: 17.04.2023
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2023, Volume 321, Issue 1, Pages S127–S137
DOI: https://doi.org/10.1134/S0081543823030124
Bibliographic databases:
Document Type: Article
UDC: 517.958: 533.7
MSC: 76N15, 76M60
Language: Russian
Citation: S. V. Khabirov, “On the Group Classification of Ideal Gas-Dynamic Relaxing Media”, Trudy Inst. Mat. i Mekh. UrO RAN, 29, no. 2, 2023, 260–270; Proc. Steklov Inst. Math. (Suppl.), 321, suppl. 1 (2023), S127–S137
Citation in format AMSBIB
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\by S.~V.~Khabirov
\paper On the Group Classification of Ideal Gas-Dynamic Relaxing Media
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2023
\vol 29
\issue 2
\pages 260--270
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\crossref{https://doi.org/10.21538/0134-4889-2023-29-2-260-270}
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\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2023
\vol 321
\issue , suppl. 1
\pages S127--S137
\crossref{https://doi.org/10.1134/S0081543823030124}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85171375056}
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