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The hydromagnetic Kelvin—Helmholtz problem in a Hall plasma

Published online by Cambridge University Press:  13 March 2009

J. F. McKenzie
J. F. McKenzie
Affiliation:
European Space Research Institute(ESRIN) of the European Space Research Organisation (ESRO), Frascati, Italy
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Extract

The hydromagnetic analogue of the Kelvin–Helmholtz problem is extended to include the effects of the Hall term. In contrast to other results in the literature it is shown that, in the case of incompressible fluids, the stability of a shear plane is unaffected by the introduction of the Hall term. The special case of a hot, uninagnetized fluid on one side of the interface and a cold, magnetized fluid on the other is studied in some detail. In this case it is shown that the presence of the Hall term can have either a stabilizing or a destabilizing effect, depending upon whether the sound speed in the hot fluid is very much greater than the Alfvén speed in the cold fluid or vice versa.

Type
Articles
Information
Journal of Plasma Physics , Volume 5 , Issue 2 , March 1971 , pp. 275 - 288
Copyright
Copyright © Cambridge University Press 1971

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References

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