Geodesic
On classes of exact solutions of quasi-hydrodynamic system
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 2 (2020), pp. 5-17

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The condition for the coincidence of the solutions of Navier-Stokes equations and the quasi-hydrodynamic system is obtained. It is shown that many well-known solutions of the Navier-Stokes system obey this condition. Classes of exact solutions common to the Navier-Stokes equations and the quasi-hydrodynamic system are considered. The application of the principle of superposition to the constructing exact solutions is shown on concrete examples, both in the stationary and non-stationary cases.
Keywords: Navier-Stokes system, condition for coincidence of solutions, principle of superposition.
Mots-clés : quasi-hydrodynamic system, classes exact solutions 
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     author = {Yu. V. Sheretov},
     title = {On classes of exact solutions of quasi-hydrodynamic system},
     journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
     pages = {5--17},
     publisher = {mathdoc},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTPMK_2020_2_a0/}
}
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Yu. V. Sheretov. On classes of exact solutions of quasi-hydrodynamic system. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 2 (2020), pp. 5-17. http://geodesic.mathdoc.fr/item/VTPMK_2020_2_a0/