The application of the perturbation method in nuclear reactor

DOI10.1080/00411458608212683zbMath0626.45017OpenAlexW1973779041MaRDI QIDQ3029566

Mingzhu Yang, De-Xing Feng, Guang-Tian Zhu

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/00411458608212683

zbMATH Keywords

perturbation theorynuclear reactorpositive semigroupsdominant eigenvaluecritical parameternonnegative eigenfunctiontime-dependent neutron transport equationcritical angular flux

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Perturbation theory of linear operators (47A55) Statistical mechanics of ferroelectrics (82D45) Transport processes in time-dependent statistical mechanics (82C70) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (1)

Distributed parameter systems governed by linear transport equations

Cites Work

• Criticality problems for slabs and spheres and energy dependent neutron transport theory
• A perturbation theorem for the essential spectral radius of strongly continuous semigroups
• Spectral methods in linear transport theory
• Existence and uniqueness of nonnegative eigenfunctions of the Boltzmann operator
• Subcriticality for transport of multiplying particles in a slab

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