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A singular perturbation approach for a reaction diffusion system arising in nuclear reactor theory
Author(s) -
de Mottoni P.,
Tesei A.,
Eckhaus W.
Publication year - 1980
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670020109
Subject(s) - singular perturbation , mathematics , perturbation (astronomy) , reaction–diffusion system , mathematical analysis , inverse , perturbation theory (quantum mechanics) , amplitude , statistical physics , physics , quantum mechanics , geometry
The qualitative behavior of the solutions of a reaction‐diffusion system arising in the theory of nuclear reactors is investigated by means of singular perturbation techniques, the small parameter ϵ representing the inverse of neutron velocity. At the lowest approximation for small ϵ the solutions exhibit oscillations about the unique strictly positive equilibrium, much as in the case of the associated lumped parameter system. A two‐times representation for solutions of small amplitudes is also given.