Geodesic
Dispersion relation in the~kinetic model of collisionless plasma
Teoretičeskaâ i matematičeskaâ fizika, Tome 210 (2022) no. 3, pp. 442-454

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For the Vlasov equation with a self-consistent field, a connection is established between the dispersion relation and the Schur algebraic complement of the generator of the corresponding dynamical system. An estimate of the instability index is obtained in terms of the Hankel transform of the background distribution of electrons, the sign of which is determined using the saddle point method.
Keywords: Vlasov equation with self-consistent field, Schur algebraic complement, instability index, saddle point method.
Mots-clés : dispersion relation 
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     author = {S. A. Stepin and A. G. Tarasov},
     title = {Dispersion relation in the~kinetic model of collisionless plasma},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {210},
     number = {3},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2022_210_3_a8/}
}
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S. A. Stepin; A. G. Tarasov. Dispersion relation in the~kinetic model of collisionless plasma. Teoretičeskaâ i matematičeskaâ fizika, Tome 210 (2022) no. 3, pp. 442-454. http://geodesic.mathdoc.fr/item/TMF_2022_210_3_a8/