Geodesic
On the exact solutions of stationary quasi-hydrodynamic equations in cylindrical coordinates
Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2017), pp. 85-94

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Two new exact solutions of stationary quasi-hydrodynamic equations in cylindrical coordinates are constructed. First solution is common for Euler and Navier-Stokes systems. The second solution satisfies to Navier-Stokes system, but it is not exact solution for Euler equations. Both solutions describe vortex structures in the fluid.
Keywords: Euler and Navier-Stokes systems, cylindrical coordinates
Mots-clés : quasi-hydrodynamic equations, exact solutions. 
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     author = {Yu. V. Sheretov},
     title = {On the exact solutions of stationary quasi-hydrodynamic equations in cylindrical coordinates},
     journal = {Vestnik Tverskogo gosudarstvennogo universiteta. Seri\^a Prikladna\^a matematika},
     pages = {85--94},
     publisher = {mathdoc},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTPMK_2017_1_a6/}
}
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Yu. V. Sheretov. On the exact solutions of stationary quasi-hydrodynamic equations in cylindrical coordinates. Vestnik Tverskogo gosudarstvennogo universiteta. Seriâ Prikladnaâ matematika, no. 1 (2017), pp. 85-94. http://geodesic.mathdoc.fr/item/VTPMK_2017_1_a6/