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], 2016, Issue 2, Pages 95–105 (Mi vtpmk14)  

Mathematical Modelling, Numerical Methods and Software Systems

On the dissipative properties of quasi–hydrodynamic equations in Stokes approximation

V. V. Grigoryevaa, Yu. V. Sheretovb

a Tver State Technical University
b Tver State University
References:
Abstract: For non-stationary quasi-hydrodynamic equations in Stokes approximation new proof of the theorem on the dissipation of total kinetic energy $E(t)$ is proposed. It is shown, that $E(t)$ not only decreases and tends to zero under $t\to +\infty$, but it is convex down function.
Keywords: quasi-hydrodynamic equations, Stokes approximation, dissipative properties.
Received: 27.02.2016
Revised: 10.03.2016
Bibliographic databases:
Document Type: Article
UDC: 532.5, 517.95
Language: Russian
Citation: V. V. Grigoryeva, Yu. V. Sheretov, “On the dissipative properties of quasi–hydrodynamic equations in Stokes approximation”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2016, no. 2, 95–105
Citation in format AMSBIB
\Bibitem{GriShe16}
\by V.~V.~Grigoryeva, Yu.~V.~Sheretov
\paper On the dissipative properties of quasi--hydrodynamic equations in Stokes approximation
\jour Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.]
\yr 2016
\issue 2
\pages 95--105
\mathnet{http://mi.mathnet.ru/vtpmk14}
\elib{https://elibrary.ru/item.asp?id=26321086}
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