Singular perturbation method in neutron transport theory

descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1974 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 15, pages 892-898 (issn: 0022-2488, eissn: 1089-7658,

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Authors: Mika, Janusz;

doi: 10.1063/1.1666767

Singular perturbation method in neutron transport theory

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Abstract

We consider equations of evolution with a small parameter in a Banach space. The method of singular perturbations is applied to derive inner and outer asymptotic solutions. It is shown that the neutron transport equation coupled with the equation for the concentration of delayed neutron precursors, if considered in the Hilbert space of square integrable functions, satisfies all the requirements set up in the paper.

Keywords

Groups and semigroups of linear operators, Differential equations in abstract spaces, Singular perturbations for ordinary differential equations

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