Geodesic
Some solutions of continuum equations for an incompressible viscous fluid
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 4, pp. 48-63

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We consider the Navier–Stokes equations for an incompressible fluid that at any specific instant $t\ge 0$ fills an open axially symmetric cylindric layer $D$. We find solutions of these equations in the class of motions described by velocity fields whose lines for $t\ge 0$ coincide with their vortex lines and lie on axially symmetric cylindric surfaces in $D$.
Keywords: scalar fields; vector fields; tensor fields; curl; Navier-Stokes equation; Stokes equation. 
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     title = {Some solutions of continuum equations for an incompressible viscous fluid},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {48--63},
     publisher = {mathdoc},
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     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2013_19_4_a5/}
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V. P. Vereshchagin; Yu. N. Subbotin; N. I. Chernykh. Some solutions of continuum equations for an incompressible viscous fluid. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 4, pp. 48-63. http://geodesic.mathdoc.fr/item/TIMM_2013_19_4_a5/