A solution class of the Euler equation in a torus with solenoidal velocity field. II

Abstract

We study a problem on solutions (V, p) of the Euler equation with solenoidal velocity field V in a torus D, which is similar to the problem considered in the authors’ previous paper in 2014. Now, the problem is considered in the class of vector fields V whose lines coincide with lines of latitude of tori embedded in D with the same circular axis. Conditions are obtained under which this problem is solvable, and solutions are found.