Geodesic
On the dissipative properties of quasi--hydrodynamic equations in Stokes approximation
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 2 (2016), pp. 95-105

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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.
Mots-clés : quasi-hydrodynamic equations
Keywords: Stokes approximation, dissipative properties. 
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     author = {V. V. Grigoryeva and Yu. V. Sheretov},
     title = {On the dissipative properties of quasi--hydrodynamic equations in {Stokes} approximation},
     journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
     pages = {95--105},
     publisher = {mathdoc},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTPMK_2016_2_a5/}
}
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V. V. Grigoryeva; Yu. V. Sheretov. On the dissipative properties of quasi--hydrodynamic equations in Stokes approximation. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 2 (2016), pp. 95-105. http://geodesic.mathdoc.fr/item/VTPMK_2016_2_a5/