Mathematical treatment of the magnetic confinement in a current carrying stellarator

Abstract

The model studied concerns the case of a stellarator machine and the magnetic confinement is modeled by using averaging methods and suitable vacuum coordinates. This is shown to lead to a two-dimensional Grad-Shafranov type problem for the averaged poloidal flux function. Various problems are considered and it is pointed out that corresponding problems for models based on tokamak machines are essentially similar.