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

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.