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Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2017, Issue 2, Pages 5–15
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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:
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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
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
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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
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Yu. V. Sheretov, “O tochnykh resheniyakh kvazigidrodinamicheskoi sistemy, udovletvoryayuschikh obobschennomu usloviyu Gromeki-Beltrami”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2018, no. 3, 5–18
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Yu. V. Sheretov, “Tochnye resheniya kvazigidrodinamicheskoi sistemy na osnove formuly Bio–Savara”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2019, no. 1, 38–49
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Yu. V. Sheretov, “O resheniyakh zadachi Koshi dlya kvazigidrodinamicheskoi sistemy”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2020, no. 1, 84–96
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Yu. V. Sheretov, “O klassakh tochnykh reshenii kvazigidrodinamicheskoi sistemy”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2020, no. 2, 5–17
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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.
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