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 3, Pages 5–19
DOI: https://doi.org/10.26456/vtpmk536 (Mi vtpmk536) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Modelling, Numerical Methods and Software Systems

On the properties of solutions of main initial-boundary value problem for quasi-hydrodynamic equations

Yu. V. Sheretov

Tver State University, Tver
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DOI: https://doi.org/10.26456/vtpmk536
Abstract: For quasi-hydrodynamic system, describing the motions of weakly compressible viscous fluid, the main initial-boundary problem is posed. It is shown that there are no nonequilibrium solutions to this problem with irrotational solenoidal velocity field. For quasi-hydrodynamic system some new energy equalities and inequalities are derived. Its dissipative properties are investigated. The additional conservation law is obtained. The corresponding integral invariant is constructed.
Keywords: quasi-hydrodynamic system, Navier-Stokes equations, dissipative properties, intergal invariants, vortex flows.
Received: 10.07.2019
Revised: 12.08.2019
Bibliographic databases:
Document Type: Article
UDC: 517.95, 532.5
Language: Russian
Citation: Yu. V. Sheretov, “On the properties of solutions of main initial-boundary value problem for quasi-hydrodynamic equations”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2019, no. 3, 5–19
Citation in format AMSBIB
\Bibitem{She19}
\by Yu.~V.~Sheretov
\paper On the properties of solutions of main initial-boundary value problem for quasi-hydrodynamic equations
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2019
\issue 3
\pages 5--19
\mathnet{http://mi.mathnet.ru/vtpmk536}
\crossref{https://doi.org/10.26456/vtpmk536}
\elib{https://elibrary.ru/item.asp?id=41156822}
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    		Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics]
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