Steady ideal flows with vorticity in toroidal domains and periodic cylinders

Sammanfattning: In a paper from 1970, Lortz constructs rotational solutions to the steady Euler equation in toroidal domains using a fixed point method. We shall review this method and rewrite it using Banach's fixed point theorem. Using the ideas presented we shall also consider rotational flows in unbounded cylinder type domains, with a given periodicity condition. This is motivated in part by the study of three dimensional, doubly periodic water waves.