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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 $t\to +\infty$, 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: | 164 | Full-text PDF : | 38 | References: | 39 |
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