Existence Result for the Kinetic Neutron Transport Problem in the Presence of Delayed Neutrons

Abstract

We propose a new proof of existence result concerning the kinetic neutron transport equation. The proof is constructive in the sense that we build a sequence that converges to the solution of the problem by iterating on the collision terms. We consider the kinetic problem in the presence of delayed neutrons and we take into account the time dependence of the cross sections. Both nonhomogeneous and albedo boundary conditions are studied.

Keywords:

• Kinetic neutron transport
• Delayed neutrons
• Precursors concentrations

Acknowledgments

The authors thank professor V. Protopopescu for his advice with an earlier draft of the manuscript.