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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)
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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
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→+∞, but it is convex down function.
Keywords:
quasi-hydrodynamic equations, Stokes approximation, dissipative properties.
Received: 27.02.2016 Revised: 10.03.2016
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
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https://www.mathnet.ru/eng/vtpmk14 https://www.mathnet.ru/eng/vtpmk/y2016/i2/p95
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Abstract page: | 211 | Full-text PDF : | 48 | References: | 48 |
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