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1997 Reaction-diffusion systems for multigroup neutron fission with temperature feedback: positive steady-state and stability
Anthony W. Leung, Beatriz Villa
Differential Integral Equations 10(4): 739-756 (1997).

Abstract

We consider a system of reaction-diffusion equations describing the dynamics of fission reactors with temperature feedback. There are $m$ equations for the neutrons in $m$ energy groups and a last temperature equation. We use the bifurcation method to find positive steady-states for the system which is not symmetric. We then analyze the linearized stability of the steady-state as a solution of the full system of $m+1$ parabolic equations. The asymptotic stability of the steady-state solution is proved by means of a stability theorem for sectorial operators.

Citation

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Anthony W. Leung. Beatriz Villa. "Reaction-diffusion systems for multigroup neutron fission with temperature feedback: positive steady-state and stability." Differential Integral Equations 10 (4) 739 - 756, 1997.

Information

Published: 1997
First available in Project Euclid: 1 May 2013

zbMATH: 0892.35023
MathSciNet: MR1741770

Subjects:
Primary: 35K57
Secondary: 47D06, 47N20, 82D75

Rights: Copyright © 1997 Khayyam Publishing, Inc.

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Vol.10 • No. 4 • 1997
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