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On the existence of a free boundary solution of the Grad-Shafranov equation

Published online by Cambridge University Press:  13 March 2009

Nobuo Fujii  and
Masahide Hirai
Nobuo Fujii
Affiliation:
Department of Control Engineering, Faculty of Engineering Science, Osaka University, Toyonaka, Osaka 560, Japan
Masahide Hirai
Affiliation:
Department of Control Engineering, Faculty of Engineering Science, Osaka University, Toyonaka, Osaka 560, Japan
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Abstract

The existence of a non-trivial free boundary solution of the nonlinear Grad-Shafranov equation is studied. In the case of axisymmetric toroids, the existence of the solution is proved by the standard variational approach using assumptions which are not physically restrictive. Also, the existence of a cylindrically symmetric solution is proved in the case of straight cylinders with circular cross-section.

Type
Research Article
Information
Journal of Plasma Physics , Volume 30 , Issue 2 , October 1983 , pp. 255 - 266
Copyright
Copyright © Cambridge University Press 1983

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References

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