Nonlinear reactor multigroup neutron transport system: Existence and stability problems

DOI10.1063/1.529349zbMath0736.35139OpenAlexW2015765024MaRDI QIDQ3981650

Gen-Shun Chen, Anthony W. Leung

Publication date: 26 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529349

zbMATH Keywords

stabilityexistencecomparison theoremsnonlinear transport equationsmultigroup neutron fissiontemperature feedback

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (2)

Uniqueness for branching diffusion process with absorbing boundary ⋮ Finite difference approximations to time-dependent multigroup transport equations in slab geometry

Cites Work

• Elliptic and parabolic systems for neutron fission and diffusion
• A nonlinear integral equation with applications to neutron transport theory
• Stability analysis of the neutron transport equation with temperature feedback
• On a Coupled Reaction Diffusion System with Time Delays
• Positive solution of a time and energy dependent neutron transport problem
• Positive Solutions and Criticality of the Linear and Some Nonlinear Neutron Transport Problems
• Positive solutions and subcriticality of energy dependent transport systems in slab geometry
• Comparison and Stability of Solutions for a Neutron Transport Problem with Temperature Feedback

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