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Some uniqueness theorems for the ideal MHD equilibrium of a cylindrical tokamak

Published online by Cambridge University Press:  13 March 2009

C.LL. Thomas
C.LL. Thomas
Affiliation:
Cuiham Laboratory, Abingdon, Oxfordshire(Euratom/UKAEA Fusion Association)
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Abstract

The cylindrical MHD equilibrium equation is formulated in a manner suitable for numerical computations which require the application of a constraint. In this formulation a uniqueness theorem is proved for a free boundary equilibrium with a specified total current. Uniqueness is independent of the details of the current density and merely requires that the total current is compatible with the current density. Two uniqueness theorems for diffuse plasmas are also presented. Four free boundary examples are studied with a variety of constraints applied.

Type
Research Article
Information
Journal of Plasma Physics , Volume 21 , Issue 1 , February 1979 , pp. 177 - 182
Copyright
Copyright © Cambridge University Press 1979

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References

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