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JOURNALS // Vestnik TVGU. Seriya: Prikladnaya Matematika [Herald of Tver State University. Series: Applied Mathematics] // Archive

Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 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

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.

UDC: 532.5, 517.95

Received: 27.02.2016
Revised: 10.03.2016



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