%0 Journal Article %A Díaz Díaz, Jesús Ildefonso %A Padial Molina, Juan Francisco %A Rakotoson, Jean Michel Theresien %T Mathematical treatment of the magnetic confinement in a current carrying stellarator %D 1998 %@ 0362-546X %U https://hdl.handle.net/20.500.14352/57380 %X 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. %~