Variational characterizations of the effective multiplication factor of a nuclear reactor core

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June 2009, 2(2): 307-331. doi: 10.3934/krm.2009.2.307

Variational characterizations of the effective multiplication factor of a nuclear reactor core

1.	Université Blaise Pascal (Clermont II), Laboratoire de Mathématiques, CNRS UMR 6620, 63117 Aubière, France

Received July 2008 Revised February 2009 Published May 2009

Abstract
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We prove some inf--sup and sup--inf formulae for the so--called effective multiplication factor arising in the study of reactor analysis. We treat in a same formalism the transport equation and the energy--dependent diffusion equation.

Keywords: energy--dependent diffusion equation, nuclear reactor, neutron transport equation, effective multiplication factor, positivity..

Mathematics Subject Classification: Primary: 82D75; Secondary: 35P1.

Citation: Bertrand Lods. Variational characterizations of the effective multiplication factor of a nuclear reactor core. Kinetic & Related Models, 2009, 2 (2) : 307-331. doi: 10.3934/krm.2009.2.307

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