On the transport equation with integral boundary conditions and its conservative law

DOI10.1007/BF02662178zbMath0995.45006MaRDI QIDQ1919340

Benzhong Liang, Xian-Wen Zhang

Publication date: 1 July 2002

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

zbMATH Keywords

spectral propertiesintegral boundary conditionsdominant eigenvaluelaw of migrating particle numberstime-dependent neutron transport equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Nuclear reactor theory; neutron transport (82D75) Eigenvalue problems for integral equations (45C05)

Related Items (1)

Spectral properties of a transport operator in a slab with integral boundary conditions

Cites Work

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• Solution of the linearized Boltzmann transport equation for the slab geometry
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• An asymptotic expansion in the theory of neutron transport
• Integral formulation for a steady‐state transport process with general boundary conditions
• On substochastic C₀-semigroups and their generators
• Frobenius Theory of Positive Operators: Comparison Theorems and Applications
• Integral operator with bounded kernel
• On the spectrum of an unsymmetric operator arising in the transport theory of neutrons

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