%0 Journal Article %A Díaz Díaz, Jesús Ildefonso %A Lerena Guil, María Belen %A Padial Molina, Juan Francisco %A Rakotoson, Jean Michel Theresien %T An elliptic-parabolic equation with a nonlocal term for the transient regime of a plasma in a Stellarator %D 2004 %@ 0022-0396 %U https://hdl.handle.net/20.500.14352/49548 %X We prove the existence and the regularity of weak solutions of a nonlocal elliptic–parabolic free-boundary problem involving the notions of relative rearrangement and monotone rearrangement. The problem arises in the study of the dynamics of a magnetically confined fusion plasma in a Stellarator device when the dimensional analysis on the characteristic times suggests to neglect the inertial acceleration in presence of a time dependent magnetic field. %~