Multigroup Fission Reactor Systems, Strongly Order-Preserving Systems

  • Anthony W. Leung
Part of the Mathematics and Its Applications book series (MAIA, volume 49)


In sections 4.2 to 4.4, we will consider the application of reactiondiffusion systems to the study of neutron fission reactors. We also discuss some ecological mutualist species interactions whose equations sometimes has similar structure. For the fission reactor theory, we investigate multigroup neutron-flux equations describing fission, scattering and absorption for n energy groups. The reactor core is represented by a bounded domain Ω in Rd, d ≥ 2. The functions ui(x) or ũi(x,t), i=1,...,n,x=(x1,...,xd)ɛ Ω are the neutron flux of the ith energy group (decreasing energy for increasing i). T(x) is the core temperature above average coolant temperature.


Equilibrium Point Preserve System Nonnegative Solution Fission Reactor Energy Group 
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Copyright information

© Springer Science+Business Media Dordrecht 1989

Authors and Affiliations

  • Anthony W. Leung
    • 1
  1. 1.Department of Mathematical SciencesUniversity of CincinnatiCincinnatiUSA

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