The dynamics of a nuclear reactor model

DOI10.1016/S0362-546X(97)00243-5zbMath0890.35071OpenAlexW2033235029MaRDI QIDQ4374234

Hongwei Chen

Publication date: 29 June 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00243-5

zbMATH Keywords

uniform boundednesslocal stabilityfixed point theorempositive steady state solutionsglobal existence and blow-up

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Nuclear physics (81V35) Reaction-diffusion equations (35K57)

Related Items (3)

Global bifurcation of positive radial solutions for an elliptic system in reactor dynamics ⋮ The steady states of a non-cooperative model arising in reactor dynamics ⋮ Bounds for global solutions of a reaction diffusion system with the Robin boundary conditions

Cites Work

• Global solutions of reaction-diffusion systems
• On positive solutions of some pairs of differential equations. II
• On the asymptotic behavior of solutions of certain quasilinear parabolic equations
• Symmetry and related properties via the maximum principle
• On nonlinear reaction-diffusion systems
• Positive solutions to general elliptic competition models
• The global existence and blowing-up property of solutions for a nuclear model
• On positive solutions of a nonlinear equilibrium boundary value problem
• On Positive Solutions of Some Pairs of Differential Equations
• Positive Steady-state Solutions of a Non-linear Reaction-Diffusion System
• On the Existence and Uniqueness of Positive Solutions for Competing Species Models with Diffusion
• Nonlinear elliptic boundary-value problems in unbounded domains
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Bifurcation analysis on a nonlinear diffusion system in reactor dynamics
• Asymptotic stability results for system of quasilinear parabolic equations

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