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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], 2022, Issue 2, Pages 60–73
DOI: https://doi.org/10.26456/vtpmk638 (Mi vtpmk638) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Modelling, Numerical Methods and Software Systems

Superposition principle for solutions of quasi-hydrodynamic system

Yu. V. Sheretov

Tver State University, Tver
Full-text PDF (382 kB) Citations (1)
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DOI: https://doi.org/10.26456/vtpmk638
Abstract: The quasi-hydrodynamic (QHD) system was proposed by the author in 1993. It has deep connections with classical Navier-Stokes and Euler systems. In this paper the principle of superposition of solutions for nonlinear quasi-hydrodynamic system is formulated and proved. Using this approach, exact solutions are found that are common for the Navier-Stokes and QHD systems. Some of these solutions for the quasi-hydrodynamic system are constructed for the first time.
Keywords: Navier-Stokes system, quasi-hydrodynamic system, exact solutions, superposition principle.
Received: 18.02.2022
Revised: 20.03.2022
Bibliographic databases:
Document Type: Article
UDC: 517.95, 532.5
Language: Russian
Citation: Yu. V. Sheretov, “Superposition principle for solutions of quasi-hydrodynamic system”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2022, no. 2, 60–73
Citation in format AMSBIB
\Bibitem{She22}
\by Yu.~V.~Sheretov
\paper Superposition principle for solutions of quasi-hydrodynamic system
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2022
\issue 2
\pages 60--73
\mathnet{http://mi.mathnet.ru/vtpmk638}
\crossref{https://doi.org/10.26456/vtpmk638}
\elib{https://elibrary.ru/item.asp?id=49249009}
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    • This publication is cited in the following 1 articles:
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    		Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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