2007, 2007(Special): 313-322. doi: 10.3934/proc.2007.2007.313

On a free-boundary problem modeling the action of a limiter on a plasma

1. 

Dept. Matemática Aplicada. F. Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain

2. 

Dpto. Matemática Aplicada, Fac. de Matemáticas, U. Politécnica de Madrid, 28040 Madrid, Spain

Received  September 2006 Revised  February 2007 Published  September 2007

In this paper we prove the existence of weak solutions for a 2D free–boundary problems arising in the magnetic confinement of a plasma in a Stellarator device which includes the action of a limiter. The model can be expressed as an inverse thin obstacle problem in which the limiter plays the role of a thin obstacle for the plasma. The inverse nature of the problem comes from the fact that the associated Grad–Shafranov equation involves some unknown nonlinear terms which must be determined by the current–carrying Stellarator condition.
Citation: J. I. Díaz, J. F. Padial. On a free-boundary problem modeling the action of a limiter on a plasma. Conference Publications, 2007, 2007 (Special) : 313-322. doi: 10.3934/proc.2007.2007.313
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