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Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2017, Issue 2, Pages 5–15 (Mi vtpmk169)  

This article is cited in 6 scientific papers (total in 6 papers)

Mathematical Modelling, Numerical Methods and Software Systems

On the common exact solutions of stationary Navier-Stokes and quasi-hydrodynamic systems, not satisfying to Euler equations

Yu. V. Sheretov

Tver State University, Tver

Abstract: Three families of exact solutions, which are common for the stationary Navier-Stokes system and corresponding quasi-hydrodynamic system, are constructed. These solutions do not satisfy to Euler equations. The concrete examples of solutions that describe the flows of a viscous fluid are presented. Their physical interpretation is given.

Keywords: Navier-Stokes and Euler systems, quasi-hydrodynamic equations, exact solutions.

DOI: https://doi.org/10.26456/vtpmk169

Full text: PDF file (324 kB)
References: PDF file   HTML file

UDC: 517.95, 532.5
Received: 21.03.2017
Revised: 27.04.2017

Citation: Yu. V. Sheretov, “On the common exact solutions of stationary Navier-Stokes and quasi-hydrodynamic systems, not satisfying to Euler equations”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2017, no. 2, 5–15

Citation in format AMSBIB
\Bibitem{She17}
\by Yu.~V.~Sheretov
\paper On the common exact solutions of stationary Navier-Stokes and quasi-hydrodynamic systems, not satisfying to Euler equations
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2017
\issue 2
\pages 5--15
\mathnet{http://mi.mathnet.ru/vtpmk169}
\crossref{https://doi.org/10.26456/vtpmk169}
\elib{https://elibrary.ru/item.asp?id=29435231}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Yu. V. Sheretov, “Ob obschikh tochnykh resheniyakh sistemy Nave-Stoksa i kvazigidrodinamicheskoi sistemy dlya nestatsionarnykh techenii”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2017, no. 3, 13–25  mathnet  crossref
    2. Yu. V. Sheretov, “O tochnykh resheniyakh kvazigidrodinamicheskoi sistemy, udovletvoryayuschikh obobschennomu usloviyu Gromeki-Beltrami”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2018, no. 3, 5–18  mathnet  crossref  elib
    3. Yu. V. Sheretov, “Tochnye resheniya kvazigidrodinamicheskoi sistemy na osnove formuly Bio–Savara”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2019, no. 1, 38–49  mathnet  crossref  elib
    4. Yu. V. Sheretov, “O resheniyakh zadachi Koshi dlya kvazigidrodinamicheskoi sistemy”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2020, no. 1, 84–96  mathnet  crossref  elib
    5. Yu. V. Sheretov, “O klassakh tochnykh reshenii kvazigidrodinamicheskoi sistemy”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2020, no. 2, 5–17  mathnet  crossref  elib
    6. T. V. Stenina, T. G. Elizarova, M. V. Kraposhin, “Regulyarizovannye uravneniya gidrodinamiki v zadache modelirovaniya diskovogo nasosa i ikh realizatsiya v ramkakh programmnogo kompleksa OpenFOAM”, Preprinty IPM im. M. V. Keldysha, 2020, 066, 30 pp.  mathnet  crossref
  • Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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