The spectrum of the transport operator with generalized boundary conditions

DOI10.1080/00411459608203549zbMath1467.82109OpenAlexW1974433206MaRDI QIDQ5859711

Wang Shenghua, Xu Genqi, Yang Mingzhu

Publication date: 20 April 2021

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411459608203549

zbMATH Keywords

transport operatorstrictly dominant eigenvaluegeneralized boundary conditionspositive co semigroups

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Transport processes in time-dependent statistical mechanics (82C70) Nuclear reactor theory; neutron transport (82D75)

Cites Work

• Unnamed Item
• Solution of the linearized Boltzmann transport equation for the slab geometry
• Spectral properties of the neutron transport equation
• One-parameter semigroups of positive operators
• Boundary value problems in abstract kinetic theory
• A generalization of the Vidav-Jörgens perturbation theorem for semigroups and its application to transport theory
• Über das Spektrum positiver Generatoren
• Spectral methods in linear transport theory
• Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator
• Effective solution to the initial value problem in neutron thermalization theory
• Spectra of perturbed semigroups with applications to transport theory
• An asymptotic expansion in the theory of neutron transport
• On the spectral decomposition of the transport operator with anisotropic scattering and periodic boundary conditions
• On the spectrum of an unsymmetric operator arising in the transport theory of neutrons

This page was built for publication: The spectrum of the transport operator with generalized boundary conditions