Spectral analysis of a dynamical system describing the diffusion of neutrons

DOI10.1134/s0016266323020053OpenAlexW4390419550MaRDI QIDQ6148184

S. A. Stepin

Publication date: 11 January 2024

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0016266323020053

zbMATH Keywords

spectruminstability indexBirman-Schwinger principlelinearized Boltzmann equationevolution semigroup generator

Mathematics Subject Classification ID

Groups and semigroups of linear operators, their generalizations and applications (47Dxx) Statistical mechanics, structure of matter (82-XX)

Cites Work

• The Birman-Schwinger principle and the Nelkin conjecture in neutron transport theory.
• Solvability of the initial-boundary value problem for an integrodifferential equation
• On spectral geometry for the one-speed particle transport operator
• Wave operators and similarity for some non-selfadjoint operators
• On the spectrum of neutron transport equation in finite bodies
• Eigenvalues of the neutron transport operator for a homogeneous finite moderator
• Wave operators for the linearized Boltzmann equation in one-speed transport theory
• Some non-selfadjoint operators
• Spectral analysis of transport operator: Functional model approach
• On the spectrum of an unsymmetric operator arising in the transport theory of neutrons
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