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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2012, Volume 53, Issue 2, Pages 14–20 (Mi pmtf1340)  
This article is cited in 1 scientific paper (total in 1 paper)

Differentially invariant solutions of equations of plane steady flows of a viscous heat-conducting perfect gas with a polytropic equation of state

V. V. Bublik

Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (215 kB) Citations (1)
Abstract: A system of Navier–Stokes equations for two-dimensional steady flows of a viscous heatconducting perfect gas with a polytropic equation of state is considered. Differentially invariant solutions of this system are studied. Bases of differential invariants and operators of invariant differentiation are constructed for all subgroups of the admitted group. Examples of new differentially invariant solutions are obtained.
Keywords: dynamics of a viscous heat-conducting gas, differentially invariant solutions.
Received: 04.07.2011
English version:
Journal of Applied Mechanics and Technical Physics, 2012, Volume 53, Issue 2, Pages 156–161
DOI: https://doi.org/10.1134/S0021894412020022
Bibliographic databases:
Document Type: Article
UDC: 517.957:[532.516.5+536.23]
Language: Russian
Citation: V. V. Bublik, “Differentially invariant solutions of equations of plane steady flows of a viscous heat-conducting perfect gas with a polytropic equation of state”, Prikl. Mekh. Tekh. Fiz., 53:2 (2012), 14–20; J. Appl. Mech. Tech. Phys., 53:2 (2012), 156–161
Citation in format AMSBIB
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\by V.~V.~Bublik
\paper Differentially invariant solutions of equations of plane steady flows of a viscous heat-conducting perfect gas with a polytropic equation of state
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2012
\vol 53
\issue 2
\pages 14--20
\mathnet{http://mi.mathnet.ru/pmtf1340}
\elib{https://elibrary.ru/item.asp?id=17651497}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2012
\vol 53
\issue 2
\pages 156--161
\crossref{https://doi.org/10.1134/S0021894412020022}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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