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On the stochastic nonlinear neutron transport equation

Published online by Cambridge University Press:  14 November 2011

Mustapha Mokhtar-Kharroubi
Mustapha Mokhtar-Kharroubi
Affiliation:
Universite de Franche-Comte, U.A. CNRS 741, 25030 Besanc.on Cedex, France
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Synopsis

The probability that a neutron leads to a divergent chain reaction in a nuclear reactor is governed by a nonlinear integro-partial-differential equation [1]. A model case of this equation was completely analysed by Pazy and Rabinowitz [2,3]. The purpose of this paper is to extend their results to the general case and to tackle some related topics.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 121 , Issue 3-4 , 1992 , pp. 253 - 272
Copyright
Copyright © Royal Society of Edinburgh 1992

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