The criticality of the transport system in a slab geometry with partially reflecting boundary conditions

DOI10.1080/00411459908205852zbMath0951.45004OpenAlexW2029020226MaRDI QIDQ4262950

Wen-Long Wang, Xinshan Yu

Publication date: 18 December 2000

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

Full work available at URL: https://doi.org/10.1080/00411459908205852

zbMATH Keywords

principal eigenvaluereflecting boundary conditionsslab geometrytransport systemcritical solutionBoltzmann integral operator

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Criticality problems for slabs and spheres and energy dependent neutron transport theory
• Existence and uniqueness for spherically symmetric linear transport
• Frobenius Theory of Positive Operators: Comparison Theorems and Applications
• On the spectrum of an unsymmetric operator arising in the transport theory of neutrons

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