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Bulletin of Irkutsk State University. Series Mathematics, 2013, Volume 6, Issue 4, Pages 2–22 (Mi iigum31)  
This article is cited in 4 scientific papers (total in 4 papers)

Solutions of the Vlasov equation for charged particle beam in magnetic field

O. I. Drivotin, D. A. Ovsyannikov

Saint-Petersburg State University, 35, Universitetskii pr., Petergof, St.-Petersburg 198504
Full-text PDF (674 kB) Citations (4)
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Abstract: New approach based on covariant formulation of the Vlasov equation is presented. This approach allows to use various coordinates in the phase space, and to consider degenerate distributions. It is shown how to apply this approach to the problem of finding of solutions of the Vlasov equation for charged particle beam. Solutions obtained within the framework of this approach are presented.
Keywords: the Vlasov equation; self-consistent distributions; phase density; Kapchinsky–Vladimirsky distribution; Ermakov integral.
Document Type: Article
UDC: 517.958
Language: Russian
Citation: O. I. Drivotin, D. A. Ovsyannikov, “Solutions of the Vlasov equation for charged particle beam in magnetic field”, Bulletin of Irkutsk State University. Series Mathematics, 6:4 (2013), 2–22
Citation in format AMSBIB
\Bibitem{DriOvs13}
\by O.~I.~Drivotin, D.~A.~Ovsyannikov
\paper Solutions of the Vlasov equation for charged particle beam in magnetic field
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2013
\vol 6
\issue 4
\pages 2--22
\mathnet{http://mi.mathnet.ru/iigum31}
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    • This publication is cited in the following 4 articles:
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