Variational characterizations of the effective multiplicationfactor of a nuclear reactor core

Bertrand Lods

doi:10.3934/krm.2009.2.307

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2009, Volume 2, Issue 2: 307-331. Doi: 10.3934/krm.2009.2.307

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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

Received: June 30, 2008

Revised: January 31, 2009

Published: May 2009

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Abstract

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.

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Mathematics Subject Classification: Primary: 82D75; Secondary: 35P15.

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