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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 492, Pages 70–74
DOI: https://doi.org/10.31857/S2686954320030212 (Mi danma75) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Schur complement and continuous spectrum in a kinetic plasma model

S. A. Stepin

Lomonosov Moscow State University, Moscow, Russian Federation
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DOI: https://doi.org/10.31857/S2686954320030212
Abstract: The goal of this paper is spectral analysis of an evolutionary semigroup generator describing the dynamics of a rarefied two-component plasma subjected to a self-consistent electromagnetic field. For the problem in question, the spectrum is given in terms of the dispersion relationship and an effective approach to the calculation of the instability index is developed.
Keywords: kinetic plasma model, generator of operator semigroup, Schur complement, dispersion relationship, instability index.
Presented: V. P. Maslov
Received: 06.12.2019
Revised: 18.02.2020
Accepted: 18.02.2020
English version:
Doklady Mathematics, 2020, Volume 101, Issue 3, Pages 231–234
DOI: https://doi.org/10.1134/S1064562420030217
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: S. A. Stepin, “Schur complement and continuous spectrum in a kinetic plasma model”, Dokl. RAN. Math. Inf. Proc. Upr., 492 (2020), 70–74; Dokl. Math., 101:3 (2020), 231–234
Citation in format AMSBIB
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\transl
\jour Dokl. Math.
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