Geodesic
Spectral analysis of a dynamical system describing the diffusion of neutrons
Funkcionalʹnyj analiz i ego priloženiâ, Tome 57 (2023) no. 2, pp. 75-92

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The spectral properties of the generator of an evolution semigroup describing the dynamics of particle transport in a substance are studied. An effective estimate of the number of unstable modes is obtained, and geometric conditions for spectral stability and instability are found.
Keywords: linearized Boltzmann equation, evolution semigroup generator, spectrum, Birman– Schwinger principle, instability index. 
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     author = {S. A. Stepin},
     title = {Spectral analysis of a dynamical system describing the diffusion of neutrons},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {75--92},
     publisher = {mathdoc},
     volume = {57},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2023_57_2_a4/}
}
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S. A. Stepin. Spectral analysis of a dynamical system describing the diffusion of neutrons. Funkcionalʹnyj analiz i ego priloženiâ, Tome 57 (2023) no. 2, pp. 75-92. http://geodesic.mathdoc.fr/item/FAA_2023_57_2_a4/