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], 2020, Issue 2, Pages 5–17
DOI: https://doi.org/10.26456/vtpmk592 (Mi vtpmk592) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Mathematical Modelling, Numerical Methods and Software Systems

On classes of exact solutions of quasi-hydrodynamic system

Yu. V. Sheretov

Tver State University, Tver
Full-text PDF (350 kB) Citations (5)
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DOI: https://doi.org/10.26456/vtpmk592
Abstract: The condition for the coincidence of the solutions of Navier-Stokes equations and the quasi-hydrodynamic system is obtained. It is shown that many well-known solutions of the Navier-Stokes system obey this condition. Classes of exact solutions common to the Navier-Stokes equations and the quasi-hydrodynamic system are considered. The application of the principle of superposition to the constructing exact solutions is shown on concrete examples, both in the stationary and non-stationary cases.
Keywords: Navier-Stokes system, quasi-hydrodynamic system, condition for coincidence of solutions, classes exact solutions, principle of superposition.
Received: 10.06.2020
Revised: 18.06.2020
Bibliographic databases:
Document Type: Article
UDC: 517.95, 532.5
Language: Russian
Citation: Yu. V. Sheretov, “On classes of exact solutions of quasi-hydrodynamic system”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2020, no. 2, 5–17
Citation in format AMSBIB
\Bibitem{She20}
\by Yu.~V.~Sheretov
\paper On classes of exact solutions of quasi-hydrodynamic system
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2020
\issue 2
\pages 5--17
\mathnet{http://mi.mathnet.ru/vtpmk592}
\crossref{https://doi.org/10.26456/vtpmk592}
\elib{https://elibrary.ru/item.asp?id=43784337}
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