Geodesic
Schur complement and continuous spectrum in a kinetic plasma model
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 492 (2020), pp. 70-74

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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. 
@article{DANMA_2020_492_a14,
     author = {S. A. Stepin},
     title = {Schur complement and continuous spectrum in a kinetic plasma model},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {70--74},
     publisher = {mathdoc},
     volume = {492},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2020_492_a14/}
}
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S. A. Stepin. Schur complement and continuous spectrum in a kinetic plasma model. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 492 (2020), pp. 70-74. http://geodesic.mathdoc.fr/item/DANMA_2020_492_a14/