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], 2018, Issue 3, Pages 5–18
DOI: https://doi.org/10.26456/vtpmk507
(Mi vtpmk507)
 

This article is cited in 2 scientific papers (total in 2 papers)

Mathematical Modelling, Numerical Methods and Software Systems

On the exact solutions of quasi–hydrodynamic system that satisfy the generalized Gromeki-Beltrami condition

Yu. V. Sheretov

Tver State University, Tver
Full-text PDF (386 kB) Citations (2)
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Abstract: The quasi-hydrodynamic system was proposed by the author in 1993. It has deep connections with classical Navier-Stokes equations. In this paper exact solutions of quasi-hydrodynamic system, obeying the generalized Gromeka-Beltrami condition system, are constructed. These solutions also satisfy the Navier-Stokes system and have been found previously for it in a different way. In the non-stationary case they generalize well-known Jeffrey Ingram Taylor's solution.
Keywords: Navier-Stokes and Euler systems, quasi-hydrodynamic system, exact solutions, generalized Gromeka-Beltrami condition.
Received: 27.06.2018
Revised: 02.09.2018
Bibliographic databases:
Document Type: Article
UDC: 517.95, 532.5
Language: Russian
Citation: Yu. V. Sheretov, “On the exact solutions of quasi–hydrodynamic system that satisfy the generalized Gromeki-Beltrami condition”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2018, no. 3, 5–18
Citation in format AMSBIB
\Bibitem{She18}
\by Yu.~V.~Sheretov
\paper On the exact solutions of quasi–hydrodynamic system that satisfy the generalized Gromeki-Beltrami condition
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2018
\issue 3
\pages 5--18
\mathnet{http://mi.mathnet.ru/vtpmk507}
\crossref{https://doi.org/10.26456/vtpmk507}
\elib{https://elibrary.ru/item.asp?id=35660173}
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  • This publication is cited in the following 2 articles:
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    Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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