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

Bertrand Lods (1)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal

We derive some new 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.

Mots clés: effective multiplication factor; nuclear reactor; neutron transport equation; energy-dependent diffusion equation; positivity.; positivity

Domaines: Equations aux dérivées partielles [math.AP]

Bertrand Lods. Variational characterizations of the effective multiplication factor of a nuclear reactor core. Kinetic and Related Models , 2009, 2 (2), pp.307 - 331. ⟨10.3934/krm.2009.2.307⟩. ⟨hal-00281082⟩