A note on the spectrum of the transport operator with continuous energy

DOI10.1080/00411459308203838zbMath0791.45004OpenAlexW2054936079MaRDI QIDQ4271052

Degong Song, Mian-sen Wang, Guang-Tian Zhu

Publication date: 12 December 1993

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

Full work available at URL: https://doi.org/10.1080/00411459308203838

zbMATH Keywords

spectrumtransport operatoranisotropic scattering and fissionfinite convex mediumscattering-fission kernel

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70) Eigenvalue problems for integral equations (45C05)

Related Items (3)

Asymptotic behavior of the classical time dependent solution for particle transport in a finite body with [0,v_M ENERGY] ⋮ Distributed parameter systems governed by linear transport equations ⋮ Some notes on the spectral properties of C_osemigroups generated by linear transport operators

Cites Work

• Solution of the linearized Boltzmann transport equation for the slab geometry
• Spectral methods in linear transport theory
• Eigenvalues of the neutron transport operator for a homogeneous finite moderator
• Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator
• The spectrum of the multigroup neutron transport operator for bounded spatial domains
• An asymptotic expansion in the theory of neutron transport
• Neutron Transport in a Nonuniform Slab with Generalized Boundary Conditions
• On the spectrum of an unsymmetric operator arising in the transport theory of neutrons

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