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}
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    • This publication is cited in the following 9 articles:
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