Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics], 2016, Issue 1, Pages 93–101 (Mi vtpmk7)  

This article is cited in 2 scientific papers (total in 2 papers)

Mathematical Modelling, Numerical Methods and Software Systems

On the exact solutions of full quasi-hydrodynamic equations for stationary flows

V. V. Grigoryevaa, Yu. V. Sheretovb

a Tver State Technical University
b Tver State University
Full-text PDF (284 kB) Citations (2)
References:
Abstract: It is shown that any infinitely differentiable solution of the stationary Euler system is the solution of corresponding quasi-hydrodynamic system if and only if it satisfies to stationary Navier-Stokes system. An example of the exact solution, which is common for three these systems and describes an isothermal vortex in gas, is given.
Keywords: full quasi-hydrodynamic equations, Euler and Navier-Stokes systems, exact solutions.
Received: 15.01.2016
Revised: 20.01.2016
Bibliographic databases:
Document Type: Article
UDC: 533.6, 517.95
Language: Russian
Citation: V. V. Grigoryeva, Yu. V. Sheretov, “On the exact solutions of full quasi-hydrodynamic equations for stationary flows”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2016, no. 1, 93–101
Citation in format AMSBIB
\Bibitem{GriShe16}
\by V.~V.~Grigoryeva, Yu.~V.~Sheretov
\paper On the exact solutions of full quasi-hydrodynamic equations for stationary flows
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2016
\issue 1
\pages 93--101
\mathnet{http://mi.mathnet.ru/vtpmk7}
\elib{https://elibrary.ru/item.asp?id=25584215}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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    Full-text PDF :104
    References:64
     
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