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On the stability of hydromagnetic flow

Published online by Cambridge University Press:  13 March 2009

R. J. Lucas
R. J. Lucas
Affiliation:
Department of Mathematical Sciences, Loyola University, Chicago, Illinois 60626
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Abstract

The linear stability of steady flow of an inhomogeneous, incompressible hydromagnetic fluid is considered. Circle theorems which provide bounds on the complex eigenfrequencies of the unstable normal modes are obtained. Sufficient conditions for stability follow in a number of special cases.

Type
Research Article
Information
Journal of Plasma Physics , Volume 35 , Issue 1 , February 1986 , pp. 145 - 150
Copyright
Copyright © Cambridge University Press 1986

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References

REFERENCES

Acheson, D. J. 1972 J. Fluid Mech. 52, 629.CrossRefGoogle Scholar
Barston, E. M. 1980 Int. J. Engng. Sci. 18, 477.CrossRefGoogle Scholar
Bernstein, I. B., Feieman, E. A., Kruskal, M. D. & Kulsrud, R. M. 1958 Proc. Boy. Soc. A. 224, 1.Google Scholar
Bodin, H. A. B., Green, T. S., Newton, A. A., Niblet, G. B. F. & Reynolds, J. A. 1966 Proceedings of 2nd International Conference on Plasma Physics and Controlled Fusion, Culham, vol. 1, p. 193. IAEA.Google Scholar
Cally, P. S. 1983 Geophys. Astrophys. Fluid Dynamics, 23, 43.CrossRefGoogle Scholar
Cally, P. S. & Adam, J. A. 1983 Geophys. Astrophys. Fluid Dynamics, 23, 57.CrossRefGoogle Scholar
Gallagher, C. C., Combes, L. S. & Levine, M. A. 1970 Phys. Fluids, 13, 1617.CrossRefGoogle Scholar
Ganguly, K. & Gupta, A. S. 1985 J. Math. Anal. Appl. 106, 26.CrossRefGoogle Scholar
Howard, L. N. 1961 J. Fluid Mech. 10, 509.CrossRefGoogle Scholar
Lucas, R. J. 1981 Int. J. Engng. Sci. 19, 819.CrossRefGoogle Scholar
Thomas, K. S. 1969 Phys. Rev. Lett. 23, 746.CrossRefGoogle Scholar
Thomas, K. S., Harris, H. W., Jahoda, F. C., Sawyer, G. A. & Siemon, R. E. 1974 Phys. Fluids, 17, 1314.CrossRefGoogle Scholar