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

J. I. Díaz; J. F. Padial

doi:10.3934/proc.2007.2007.313

Article Contents

2007, Volume 2007: 313-322. Doi: 10.3934/proc.2007.2007.313 open access

This issue Previous Article Entropy methods for reaction-diffusion systems Next Article Asymptotics for 1D flows with time-dependent external fields

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

J. I. Díaz^1, and
J. F. Padial^2,

1.
Dept. Matemática Aplicada. F. Matemáticas, Universidad Complutense de Madrid, 28040 Madrid
2.
Dpto. Matemática Aplicada, Fac. de Matemáticas, U. Politécnica de Madrid, 28040 Madrid

Received: August 31, 2006

Revised: January 31, 2007

Published: August 2007

Abstract Related Papers Cited by

Abstract

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.

Keywords:

Mathematics Subject Classification: Primary: 35J85; Secondary: 35R30.

Citation:

Article Metrics

HTML views() PDF downloads(35) Cited by(0)

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

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

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

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content