Geodesic
Longitudinal-vortex unit vector fields from the class of axially symmetric fields
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 14 (2008) no. 3, pp. 92-98

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In the paper, we construct unit vector fields belonging to the class of smooth axially symmetric fields that are longitudinal-vortex in the whole space $\mathbb R^3$. 
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     author = {V. P. Vereshchagin and Yu. N. Subbotin and N. I. Chernykh},
     title = {Longitudinal-vortex unit vector fields from the class of axially symmetric fields},
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V. P. Vereshchagin; Yu. N. Subbotin; N. I. Chernykh. Longitudinal-vortex unit vector fields from the class of axially symmetric fields. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 14 (2008) no. 3, pp. 92-98. http://geodesic.mathdoc.fr/item/TIMM_2008_14_3_a7/