Geodesic
On the properties of solutions of main initial-boundary value problem for quasi-hydrodynamic equations
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 3 (2019), pp. 5-19 Cet article a éte moissonné depuis la source Math-Net.Ru

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For quasi-hydrodynamic system, describing the motions of weakly compressible viscous fluid, the main initial-boundary problem is posed. It is shown that there are no nonequilibrium solutions to this problem with irrotational solenoidal velocity field. For quasi-hydrodynamic system some new energy equalities and inequalities are derived. Its dissipative properties are investigated. The additional conservation law is obtained. The corresponding integral invariant is constructed.
Mots-clés : quasi-hydrodynamic system, intergal invariants
Keywords: Navier-Stokes equations, dissipative properties, vortex flows. 
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Yu. V. Sheretov. On the properties of solutions of main initial-boundary value problem for quasi-hydrodynamic equations. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 3 (2019), pp. 5-19. http://geodesic.mathdoc.fr/item/VTPMK_2019_3_a0/

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