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Self-similar and asymptotic solutions for a one-dimensional Vlasov beam

Published online by Cambridge University Press:  13 March 2009

J. R. Burgan ,
M. R. Feix ,
E. Fijalkow  and
A. Munier
J. R. Burgan
Affiliation:
C.R.P.E./C.N.R.S./C.N.E.T. – Université d'ORLEANS, CEA LIMEIL
M. R. Feix
Affiliation:
C.R.P.E./C.N.R.S./C.N.E.T. – Université d'ORLEANS, CEA LIMEIL
E. Fijalkow
Affiliation:
C.R.P.E./C.N.R.S./C.N.E.T. – Université d'ORLEANS, CEA LIMEIL
A. Munier
Affiliation:
C.R.P.E./C.N.R.S./C.N.E.T. – Université d'ORLEANS, CEA LIMEIL
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Abstract

Rescaling transformations bringing friction terms in the new equation are used to obtain the asymptotic solution of a one-dimensional, one-species beam. It is shown that for all possible initial conditions this asymptotic solution coincides with the self-similar solution.

Type
Research Article
Information
Journal of Plasma Physics , Volume 29 , Issue 1 , February 1983 , pp. 139 - 142
Copyright
Copyright © Cambridge University Press 1983

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References

REFERENCES

Burgan, J. R., Feix, M. R., Fijalkow, E. & Munier, A. 1982 J. Math. Phys. (In press).Google Scholar
Burgan, J. R., Gutierrez, J., Fijalkow, E., Navet, M. & Feix, M. R. 1978 a J. Plasma Phys. 19, 135.CrossRefGoogle Scholar
Burgan, J. R., Gutierrez, J., Munier, A., Fijalkow, E. & Feix, M. R. 1978 b Strongly Coupled Plasma (ed. Kalman, G.), p. 597. Plenum.CrossRefGoogle Scholar
Zel'dovich, Ya. B. & Raizer, Yu. P. 1967 Physics of Shock waves and High Temperature Hydrodynamic Phenomena, vol. 2. Academic.Google Scholar