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 3, Pages 13–25
DOI: https://doi.org/10.26456/vtpmk176 (Mi vtpmk176) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Mathematical Modelling, Numerical Methods and Software Systems

On common exact solutions of Navier-Stokes and quasi-hydrodynamic systems for nonstationary flows

Yu. V. Sheretov

Tver State University, Tver
Full-text PDF (351 kB) Citations (9)
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DOI: https://doi.org/10.26456/vtpmk176
Abstract: It is shown that the Trkal method for constructing uniformly-helical solutions of nonstationary Navier-Stokes equations is applicable for quasi-hydrodynamic system. A wider class of flows, obeying the generalized Gromeki-Beltrami condition, is considered. Examples of exact solutions, common to the Navier-Stokes and quasi-hydrodynamic systems, but not satisfying the Euler equations, are given.
Keywords: Navier-Stokes and Euler systems, quasi-hydrodynamic equations, exact solutions, Trkal method, generalized Gromeka-Beltrami condition, helical flows.
Received: 30.07.2017
Revised: 31.08.2017
Document Type: Article
UDC: 517.95, 532.5
Language: Russian
Citation: Yu. V. Sheretov, “On common exact solutions of Navier-Stokes and quasi-hydrodynamic systems for nonstationary flows”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2017, no. 3, 13–25
Citation in format AMSBIB
\Bibitem{She17}
\by Yu.~V.~Sheretov
\paper On common exact solutions of Navier-Stokes and quasi-hydrodynamic systems for nonstationary flows
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2017
\issue 3
\pages 13--25
\mathnet{http://mi.mathnet.ru/vtpmk176}
\crossref{https://doi.org/10.26456/vtpmk176}
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