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

  • J. R. Burgan (a1), M. R. Feix (a1), E. Fijalkow (a1) and A. Munier (a1)

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.

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

  • J. R. Burgan (a1), M. R. Feix (a1), E. Fijalkow (a1) and A. Munier (a1)

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