Reaction-diffusion systems with temperature feedback: Bifurcations and stability

DOI10.1016/S0362-546X(96)00202-7zbMath0891.35065OpenAlexW2072719629MaRDI QIDQ4374231

Anthony W. Leung

Publication date: 4 February 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(96)00202-7

zbMATH Keywords

linearized stabilitypositive steady-statesdynamics of fission reactorsstability theorem for sectorial operators

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32)

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Elliptic and parabolic systems for neutron fission and diffusion
• Geometric theory of semilinear parabolic equations
• Bifurcating solutions and stabilities for multigroup neutron fission systems with temperature feedback
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Generation of Analytic Semigroups by Strongly Elliptic Operators Under General Boundary Conditions
• On the Leung-Chen feedback model for nuclear fission

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