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Stability and eigenfrequency bounds for steady flow of a cylindrical electrostatic plasma

Published online by Cambridge University Press:  13 March 2009

R. J. Lucas
R. J. Lucas
Affiliation:
Department of Mathematics, Illinois Institute of Technology, Chicago, Illinois 60616
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Extract

The stability of steady flow of an N-component, warm or cold, cylindrical electrostatic plasma is considered. The plasma is immersed in a magnetic field B0(r), where r is the radial co-ordinate, which is allowed to have both axial and azimuthal components. The unperturbed quantities are allowed to be arbitrary functions of r consistent with the zero-order equations. A sufficient condition for the stability of a rotating flow to axisymmetric perturbations is obtained.

Type
Articles
Information
Journal of Plasma Physics , Volume 27 , Issue 2 , April 1982 , pp. 309 - 320
Copyright
Copyright © Cambridge University Press 1982

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References

REFERENCES

Barston, E. M. 1970 J. Fluid Mech. 42, 97.CrossRefGoogle Scholar
Barston, E. M. 1977 a J. Math. Phys. 18, 750.CrossRefGoogle Scholar
Barston, E. M. 1977 b J. Plasma Phys. 17, 409.CrossRefGoogle Scholar
Barston, E. M. 1980 Int. J. Engng. Sci. 18, 477.CrossRefGoogle Scholar
Davidson, R. C. 1974 Theory of Non-neutral Plasmas. Benjamin.Google Scholar
Frieman, E. A. & Rotenberg, M. 1960 Rev. Mod. Phys. 32, 898.CrossRefGoogle Scholar
Hamieri, E. 1976 ERDA Research and Development Report C00–3077. 123, MF-85, Courant Institute of Mathematical Sciences, New York University.Google Scholar
Linson, L. M. 1971 Phys. Fluids, 14, 805.CrossRefGoogle Scholar
Low, F. E. 1961 Phys. Fluids, 4, 842.CrossRefGoogle Scholar