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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

Bertrand Lods 1,

1. 

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

Received  July 2008 Revised  February 2009 Published  May 2009

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 and Related Models, 2009, 2 (2) : 307-331. doi: 10.3934/krm.2009.2.307
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