Abstract
This paper is devoted to the study of the numerical existence of asymmetric one-component equilibrium plasmas in a vessel which has a symmetric cross section. Numerical results show that there are bifurcation phenomena between one-component symmetric plasmas and one-component asymmetric plasmas, and that there are disappearances of existence curves in the parameter space. Such disappearances of existence curves suggest bifurcation phenomena between one-component asymmetric plasmas and two-component asymmetric plasmas.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. S. Demidov, The form of a steady plasma subject to the skin effect in a tokamak with non-circular cross-section. Nucl. Fusion,15 (1975), 765–768.
A. S. Demidov, Equilibrium form of a steady plasma. Phys. Fluids,21(6) (1978), 902–904.
A. S. Demidov, Sur la perturbation “singulière” dans un problème à frontière libre. Lecture Notes in Math., 594 (eds. A. Dold and B. Eckmann), Springer-Verlag, New York, 1977, 123–130.
H. Takahasi and M. Mori, Double exponential formulas for numerical integration. Publ. Res. Inst. Math. Sci., Kyoto Univ.,9 (1974), 121–141.
S. Moriguti, K. Udagawa and S. Hitotumatu, Handbook of Mathematical Formulae. Iwanami-Shoten, Tokyo, 1984, 71–84, in Japanese.
Author information
Authors and Affiliations
About this article
Cite this article
Imai, H., Kawarada, H. One-component asymmetric plasmas in a symmetric vessel. Japan J. Appl. Math. 5, 173–186 (1988). https://doi.org/10.1007/BF03167871
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF03167871