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The stability of parallel flow of a multi-component 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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Abstract

A Liapunov functional is constructed for the plane parallel flow of a multicomponent plasma in an external gravitational field. Sufficient conditions for stability to electrostatic perturbations are obtained. The L2-norms of certain system variables are shown to be bounded uniformly in time.

Type
Research Article
Information
Journal of Plasma Physics , Volume 24 , Issue 2 , October 1980 , pp. 251 - 264
Copyright
Copyright © Cambridge University Press 1980

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References

REFERANCE

Barston, E. M. 1970 J. Fluid Mech. 42, 97.Google Scholar
Barston, E. M. 1971 J. Math. Phys. 12, 1116.CrossRefGoogle Scholar
Barston, E. M. 1972 J. Math. Phys. 13, 720.Google Scholar
Barston, E. M. 1977 Int. J. Eng. Sci. 15, 71.CrossRefGoogle 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
Laval, G., Mercier, C. & Pelllat, 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