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

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

LODS, BERTRAND
2009-01-01

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
2009
2
306
331
http://www.aimsciences.org/journals/krm/index.htm
effective multiplication factor; nuclear reactor; neutron transport equation; energy-dependent diffusion equation; positivity.
Bertrand Lods
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/81363
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