Criticality problems for slabs and spheres and energy dependent neutron transport theory

DOI10.1016/0022-247X(80)90023-2zbMath0424.45001OpenAlexW2078645084MaRDI QIDQ1134949

Harold Dean jun. Victory

Publication date: 1980

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(80)90023-2

zbMATH Keywords

compact operatorstransport processKrein-Rutman theorycones of nonnegative functions

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Transport processes in time-dependent statistical mechanics (82C70) Linear operators on ordered spaces (47B60) Abstract integral equations, integral equations in abstract spaces (45N05) Eigenvalue problems for integral equations (45C05)

Related Items (3)

The criticality of the transport system in a slab geometry with partially reflecting boundary conditions ⋮ The application of the perturbation method in nuclear reactor ⋮ A stationary criticality problem in general \(L_ p\)-space for energy dependent neutron transport in cylindrical geometry

Cites Work

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• N-group neutron transport theory: A criticality problem in slab geometry
• On criticality problems in energy dependent neutron transport theory
• Estimates of critical dimensions of spherical and slab reactors
• Calculation of Eigenfunctions in the Context of Integration-to-Blowup
• Solution by iteration of H-equations in multigroup neutron transport
• On the Spectral Radius of Integral Operators Defined by a Class of Difference Kernels
• The Numerical Solution of the Eigenvalue Problem for Compact Integral Operators

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