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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 1, Pages 85–94
DOI: https://doi.org/10.26456/vtpmk125 (Mi vtpmk125) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematical Modelling, Numerical Methods and Software Systems

On the exact solutions of stationary quasi-hydrodynamic equations in cylindrical coordinates

Yu. V. Sheretov

Tver State University, Tver
Full-text PDF (329 kB) Citations (3)
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DOI: https://doi.org/10.26456/vtpmk125
Abstract: Two new exact solutions of stationary quasi-hydrodynamic equations in cylindrical coordinates are constructed. First solution is common for Euler and Navier-Stokes systems. The second solution satisfies to Navier-Stokes system, but it is not exact solution for Euler equations. Both solutions describe vortex structures in the fluid.
Keywords: Euler and Navier-Stokes systems, quasi-hydrodynamic equations, cylindrical coordinates, exact solutions.
Received: 10.01.2017
Revised: 20.02.2017
Bibliographic databases:
Document Type: Article
UDC: 517.95, 532.5
Language: Russian
Citation: Yu. V. Sheretov, “On the exact solutions of stationary quasi-hydrodynamic equations in cylindrical coordinates”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2017, no. 1, 85–94
Citation in format AMSBIB
\Bibitem{She17}
\by Yu.~V.~Sheretov
\paper On the exact solutions of stationary quasi-hydrodynamic equations in cylindrical coordinates
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2017
\issue 1
\pages 85--94
\mathnet{http://mi.mathnet.ru/vtpmk125}
\crossref{https://doi.org/10.26456/vtpmk125}
\elib{https://elibrary.ru/item.asp?id=28786649}
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    		Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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