Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 137, Pages 97–103 (Mi into207)  
This article is cited in 2 scientific papers (total in 2 papers)

Vortex steady planar entropic flows of ideal gases

S. V. Khabirov

Mavlyutov Institute of Mechanics, Ufa Centre of the Russian Academy of Sciences
Full-text PDF (159 kB) Citations (2)
Abstract: We find all solutions to the submodel of vortex, steady, planar, barotropic, entropic flows of an ideal gas and show that possible motions are exhausted by rectilinear motions under a constant pressure and motions along concentric circles. We present a group classification of the model of planar, vortex, entropic, nonbarotropic flows, examine invariant submodels, and propose a physical interpretation of certain solutions.
Keywords: vortex flow, group analysis, optimal system of subalgebras, invariant solution.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-97027-a
Ministry of Education and Science of the Russian Federation 8146.2016
This work was supported by the Russian Foundation for Basic Research (project No. 14-01-97027-a) and the Program for Support of Leading Scientific Schools (project No. NSh-8146.2016).
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 236, Issue 6, Pages 679–686
DOI: https://doi.org/10.1007/s10958-018-4139-8
Bibliographic databases:
Document Type: Article
UDC: 517.958, 533.7
MSC: 37N10, 76N15, 76U05
Language: Russian
Citation: S. V. Khabirov, “Vortex steady planar entropic flows of ideal gases”, Differential equations. Mathematical physics, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 137, VINITI, Moscow, 2017, 97–103; J. Math. Sci. (N. Y.), 236:6 (2019), 679–686
Citation in format AMSBIB
\Bibitem{Kha17}
\by S.~V.~Khabirov
\paper Vortex steady planar entropic flows of ideal gases
\inbook Differential equations. Mathematical physics
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 137
\pages 97--103
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into207}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801262}
\zmath{https://zbmath.org/?q=an:1411.37065}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 236
\issue 6
\pages 679--686
\crossref{https://doi.org/10.1007/s10958-018-4139-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85059468942}
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  • https://www.mathnet.ru/eng/into207
  • https://www.mathnet.ru/eng/into/v137/p97
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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