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Prog. Theor. Phys. Vol. 71 No. 4 (1984) pp. 671-676
On the Quasi-Static Evolution of Two-Dimensional Plasmas
Zensho Yoshida,
Taijiro Uchida* and
Nobuyuki Inoue*
Courant Institute of Mathematical Sciences, New York University, New York, NY 10012
Department of Nuclear Engineering, Faculty of Engineering, University of Tokyo, Tokyo 113
(Received August 20, 1983)
Abstract:
The quasi-statics of current-carrying two-dimensional plasmas have been studied applying operator-theoretic methods in nonlinear functional analysis. A diffusion equation with a singular perturbation has been introduced as a model of the quasi-statics. Roughly speaking, the diffusion coefficient parallel to magnetic surfaces we show must become infinite; this is required by the equilibrium condition. In view of the singular perturbation, we have studied the free-boundary and the bifurcation of solutions. The bifurcation theorem obtained gives theoretical foundations for the argument of neighboring equilibriums.
URL :
http://ptp.ipap.jp/link?PTP/71/671/
DOI : 10.1143/PTP.71.671
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