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], 2019, Issue 1, Pages 38–49
DOI: https://doi.org/10.26456/vtpmk525 (Mi vtpmk525) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematical Modelling, Numerical Methods and Software Systems

Exact solutions of quasi-hydrodynamic system on the base of Biot-Savart formula

Yu. V. Sheretov

Tver State University, Tver
Full-text PDF (368 kB) Citations (3)
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DOI: https://doi.org/10.26456/vtpmk525
Abstract: The quasi-hydrodynamic system for a slightly compressible viscous fluid was proposed by the author in 1993. In the work new exact solutions of this system for steady-state flows are constructed. They also satisfy to Euler and Navier-Stokes systems. The velocity field is calculated as the sum of Biot-Savart integral and gradient of harmonic function. The substantiation of the approach is made, the corresponding theorems are proved. Physical interpretation of solutions is given. The meaning of included constants is clarified.
Keywords: quasi-hydrodynamic system, Euler and Navier-Stokes equations, exact solutions, Biot-Savart formula.
Received: 20.02.2019
Revised: 20.03.2019
Bibliographic databases:
Document Type: Article
UDC: 517.95, 532.5
Language: Russian
Citation: Yu. V. Sheretov, “Exact solutions of quasi-hydrodynamic system on the base of Biot-Savart formula”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2019, no. 1, 38–49
Citation in format AMSBIB
\Bibitem{She19}
\by Yu.~V.~Sheretov
\paper Exact solutions of quasi-hydrodynamic system on the base of Biot-Savart formula
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2019
\issue 1
\pages 38--49
\mathnet{http://mi.mathnet.ru/vtpmk525}
\crossref{https://doi.org/10.26456/vtpmk525}
\elib{https://elibrary.ru/item.asp?id=37166594}
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    		Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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