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Shock-like solutions of the electrostatic Vlasov equation*

Published online by Cambridge University Press:  13 March 2009

David Montgomery  and
Glenn Joyce
David Montgomery
Affiliation:
Department of Physics and Astronomy, The University of Iowa, Iowa City, Iowa
Glenn Joyce
Affiliation:
Department of Physics and Astronomy, The University of Iowa, Iowa City, Iowa
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Abstract

It is shown how to construct shock-like time independent solutions of the electrostatic Vlasov and Poisson Equations in one dimension. The positive ions are assumed to be at zero temperature. The electrostatic potential is assumed to increase monotonically through the shock from zero to a constant value. The most important feature of the solution is a population of trapped electrons in the shocked plasma. In contrast to time-independent solutions based upon fluid equations, there is no upper limit on the amplitude of the shock.

Type
Research Article
Information
Journal of Plasma Physics , Volume 3 , Issue 1 , February 1969 , pp. 1 - 11
Copyright
Copyright © Cambridge University Press 1969

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Footnotes

*

This work was supported in part by the National Aeronautics and Space Administra. tion under grants NGR 16-001-043 and NsG 233-62.

References

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