Hostname: page-component-6d856f89d9-jrqft Total loading time: 0 Render date: 2024-07-16T06:04:08.565Z Has data issue: false hasContentIssue false

On the derivation of the quasilinear equations

Published online by Cambridge University Press:  13 March 2009

Junichiro Fukai
Affiliation:
Department of Physics, University of Tennessee
Edward G. Harris
Affiliation:
Department of Physics, University of Tennessee

Abstract

A derivation of the quasilinear equations is given, which is sufficiently general to include damped waves. The cause of some difficulties in previous derivations, momentum and energy conservation, and the origin of irreversibility are discussed.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1972

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Bodner, S. E. 1971 J. Plasma Phys. 5, 141.Google Scholar
Chang, D. B. 1964 Phys. Fluids, 7, 1980.Google Scholar
Drummond, W. E. & Pines, D. 1962 Nucl. Fusion Suppl., p. 1049.Google Scholar
Harris, E. G. 1969 Advances in Plasma Physics, vol. 3 (ed. Simon, A. and Thompson, W. B.). Interscience.Google Scholar
Kaufman, A. 1970 University of California Radiation Laboratory Rep. 19869.Google Scholar
Klozenberg, J. P. & Bernstein, I. B. 1970 J. Plasma Phys. 4, 595.Google Scholar
Landau, L. D. & Lifschitz, E. M. 1960 Electrodynamics of Continuous Media. Addison-Wesley.Google Scholar
Montgomery, D. & Bodner, S. 1971 J. Plasma Phys. 5, 131.Google Scholar
Pines, D. & Schrieffer, J. R. 1962 Phys. Rev. 125, 804.CrossRefGoogle Scholar
Rogister, A. L. & Oberman, C. 1968 J. Plasma Phys. 2, 33.CrossRefGoogle Scholar
Vahala, G. & Montgomery, D. 1970 J. Plasma Phys. 4, 677.Google Scholar
Vedenov, A., Velikhov, E. & Sagdeev, R. 1962 Nucl. Fusion Suppl., p. 465.Google Scholar