Geodesic
A solution class of the Euler equation in a torus with solenoidal velocity field. II
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 4, pp. 102-108

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We study a problem on solutions $(\mathbf{V},p)$ of the Euler equation with solenoidal velocity field $\mathbf{V}$ in a torus $D$, which is similar to the problem considered in the authors' previous paper 2014. Now, the problem is considered in the class of vector fields $\mathbf{V}$ whose lines coincide with lines of latitude of tori embedded in $D$ with the same circular axis. Conditions are found under which this problem is solvable, and solutions are found too.
Keywords: scalar and vector fields, curl.
Mots-clés : Euler equation, divergence 
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     title = {A solution class of the {Euler} equation in a torus with solenoidal velocity field. {II}},
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V. P. Vereshchagin; Yu. N. Subbotin; N. I. Chernykh. A solution class of the Euler equation in a torus with solenoidal velocity field. II. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 4, pp. 102-108. http://geodesic.mathdoc.fr/item/TIMM_2015_21_4_a9/