Hostname: page-component-848d4c4894-nmvwc Total loading time: 0 Render date: 2024-07-04T09:04:32.527Z Has data issue: false hasContentIssue false
  • English
  • Français

Stability of parallel flow of a multi-component cylindrical plasma to electrostatic perturbations

Published online by Cambridge University Press:  13 March 2009

R. Lucas
R. Lucas
Affiliation:
Department of Mathematics, Illinois Institute of Technology, Chicago, Illinois 60616
Get access Rights & Permissions [Opens in a new window]

Abstract

Sufficient conditions for the stability of parallel flow of a warm N-component cylindrical plasma to electrostatic perturbations are obtained. In the unperturbed state the jth plasma component is assumed to have axial velocity Vj0(r), r being the radial co-ordinate, and the equilibrium quantities are permitted to be arbitrary functions of r consistent with the zeroth-order equations. The L2-norms of certain system variables are shown to be bounded uniformly in time. Circle theorems are obtained for the complex eigenfrequencies of any normal mode.

Type
Research Article
Information
Journal of Plasma Physics , Volume 26 , Issue 2 , October 1981 , pp. 369 - 383
Copyright
Copyright © Cambridge University Press 1981

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Barston, E. M. 1970 J. Fluid Mech. 42, 97.Google Scholar
Barston, E. M. 1971 J. Math. Phys. 12, 1116.Google Scholar
Barston, E. M. 1972 J. Math. Phys. 13, 720.Google Scholar
Barston, E. M. 1977 a Int. J. Eng. Sci. 15, 71.Google Scholar
Barston, E. M. 1977 b J. Math. Phys. 18, 750.CrossRefGoogle Scholar
Barston, E. M. 1980 Int. J. Eng. Sci. 18, 477.Google Scholar
Bernstein, I., Frieman, E. A., Kruskal, M. D. & Kulsrud, R. M. 1958 Proc. Roy. Soc. A 244, 17.Google Scholar
Frieman, E. A. & Rotenberg, M. 1960 Rev. Mod. Phys. 32, 898.Google Scholar
Hameiri, E. 1976 Courant Institute Report MF-85 (COO-3077–123).Google Scholar
Howard, L. N. 1961 J. Fluid Mech. 10, 509.CrossRefGoogle Scholar
Laval, G., Mercier, C. & Pellat, R. 1965 Nucl. Fusion, 5, 156.CrossRefGoogle Scholar
Low, F. E. 1961 Phys. Fluids, 4, 842.Google Scholar
Sturrock, P. A. 1958 Ann. Phys. (N.Y.), 4, 306.CrossRefGoogle Scholar