Comparison and Stability of Solutions for a Neutron Transport Problem with Temperature Feedback

DOI10.1137/0514014zbMath0508.45011OpenAlexW2002926178MaRDI QIDQ4746273

Chia-Ven Pao

Publication date: 1983

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0514014

zbMATH Keywords

instabilityupper and lower solutionsglobal solutionsmonotone convergenceneutron transportmethod of successive approximationnuclear reactorstemperature feedbackexistence-comparison theorem

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Statistical mechanics of ferroelectrics (82D45) Stability theory for integral equations (45M10) Transport processes in time-dependent statistical mechanics (82C70)

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Finite difference approximations to time-dependent multigroup transport equations in slab geometry ⋮ Nonlinear reactor multigroup neutron transport system: Existence and stability problems ⋮ Blowup and global existence of solutions for a catalytic converter in interphase heat-transfer

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