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Discrete spectra and dampes waves in quasilinear theory†

Published online by Cambridge University Press:  13 March 2009

George Vahala  and
David Montgomery
George Vahala
Affiliation:
Department of Physics, University of California, Berkeley, California 94720
David Montgomery
Affiliation:
Department of Physics, University of California, Berkeley, California 94720
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Abstract

The consequences of the quasilinear equations are explored. Particular attention is paid to the differences between the one-dimensional and the two- and three-dimensional cases, and to the differences between the cases of discrete and continuous wave-number spectra. The possibilities of and problems associated with including damped waves are treated. The relation between conservation laws and the ‘resonance approximation’, in which the limit of zero growth rate for the unstable waves is taken at finite times, is clarified. Numerical solutions for the one-dimensional case with finite growth rate are presented.

Type
Research Article
Information
Journal of Plasma Physics , Volume 4 , Issue 4 , December 1970 , pp. 677 - 691
Copyright
Copyright © Cambridge University Press 1970

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References

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