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

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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], 2017, Issue 2, Pages 5–15
DOI: https://doi.org/10.26456/vtpmk169 (Mi vtpmk169)

This article is cited in 9 scientific papers (total in 9 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

Full-text PDF (324 kB) Citations (9)

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

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.

Received: 21.03.2017
Revised: 27.04.2017

Bibliographic databases:

Document Type: Article

UDC: 517.95, 532.5

Language: Russian

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}

Linking options:

https://www.mathnet.ru/eng/vtpmk169

https://www.mathnet.ru/eng/vtpmk/y2017/i2/p5

This publication is cited in the following 9 articles:

Yu. V. Sheretov, “O postroenii tochnykh reshenii statsionarnoi kvazigidrodinamicheskoi sistemy s pomoschyu podstanovki Linya”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2023, no. 1, 36–48
Yu. V. Sheretov, “Printsip superpozitsii reshenii kvazigidrodinamicheskoi sistemy”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2022, no. 2, 60–73
Yu. V. Sheretov, “O postroenii tochnykh reshenii dvumernoi kvazigidrodinamicheskoi sistemy”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2021, no. 1, 5–20
Yu. V. Sheretov, “O resheniyakh zadachi Koshi dlya kvazigidrodinamicheskoi sistemy”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2020, no. 1, 84–96
Yu. V. Sheretov, “O klassakh tochnykh reshenii kvazigidrodinamicheskoi sistemy”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2020, no. 2, 5–17
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.
Yu. V. Sheretov, “Tochnye resheniya kvazigidrodinamicheskoi sistemy na osnove formuly Bio–Savara”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2019, no. 1, 38–49
Yu. V. Sheretov, “O tochnykh resheniyakh kvazigidrodinamicheskoi sistemy, udovletvoryayuschikh obobschennomu usloviyu Gromeki-Beltrami”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2018, no. 3, 5–18
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

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]

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