RT Journal Article
T1 On a 2-dimensional stationary free-boundary problem arising in the confinement of a plasma in a stellarator
A1 Díaz Díaz, Jesús Ildefonso
A1 Rakotoson, Jean Michel Theresien
AB We obtain the existence of solutions of a two-dimensional free boundary problem modelling the magnetic confinement of a plasma in a Stellarator configuration. The nonlinear elliptic equation was obtained from the 3-D MHD system by Hender and Carreras using averaging arguments and a suitable system of coordinates. The final formulation as a free boundary problem involves the notion of relative rearrangement and has important differences with respect to the model for Tokamaks configurations. We use an iterative algorithm and some new properties on relative rearrangement in order to prove the existence of a solution giving rise to a free boundary.
PB Elsevier
SN 0764-4442
YR 1993
FD 1993-08
LK https://hdl.handle.net/20.500.14352/57487
UL https://hdl.handle.net/20.500.14352/57487
DS Docta Complutense
RD 10 abr 2025