Elliptic and parabolic systems for neutron fission and diffusion

DOI10.1016/0022-247X(86)90187-3zbMath0603.35032MaRDI QIDQ1082531

Gen-Shun Chen, Anthony W. Leung

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

existencepositive solutionsteady statesneutron fissionlarge-time dynamic behaviormultigroup diffusion

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (4)

Nonlinear reactor multigroup neutron transport system: Existence and stability problems ⋮ On the Leung-Chen feedback model for nuclear fission ⋮ Reaction-diffusion systems with temperature feedback: Bifurcations and stability ⋮ Construction of two-sided bounds for initial-boundary value problems

Cites Work

• Equilibria and stabilities for competing-species reaction-diffusion equations with Dirichlet boundary data
• Comparison principles for reaction-diffusion systems: Irregular comparison functions and applications to questions of stability and speed of propagation of disturbances
• Positive Solutions for Temperature-Dependent Two-Group Neutron Flux Equations: Equilibria and Stabilities
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Elliptic and parabolic systems for neutron fission and diffusion