Geodesic
On the exact solutions of quasi–hydrodynamic system that satisfy the generalized Gromeki-Beltrami condition
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 3 (2018), pp. 5-18

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The quasi-hydrodynamic system was proposed by the author in 1993. It has deep connections with classical Navier-Stokes equations. In this paper exact solutions of quasi-hydrodynamic system, obeying the generalized Gromeka-Beltrami condition system, are constructed. These solutions also satisfy the Navier-Stokes system and have been found previously for it in a different way. In the non-stationary case they generalize well-known Jeffrey Ingram Taylor's solution.
Keywords: Navier-Stokes and Euler systems, generalized Gromeka-Beltrami condition.
Mots-clés : quasi-hydrodynamic system, exact solutions 
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     author = {Yu. V. Sheretov},
     title = {On the exact solutions of quasi{\textendash}hydrodynamic system that satisfy the generalized {Gromeki-Beltrami} condition},
     journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
     pages = {5--18},
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     number = {3},
     year = {2018},
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     url = {http://geodesic.mathdoc.fr/item/VTPMK_2018_3_a0/}
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Yu. V. Sheretov. On the exact solutions of quasi–hydrodynamic system that satisfy the generalized Gromeki-Beltrami condition. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 3 (2018), pp. 5-18. http://geodesic.mathdoc.fr/item/VTPMK_2018_3_a0/