A singular perturbation approach for a reaction diffusion system arising in nuclear reactor theory | Zendy

de Mottoni P. | Zendy; Tesei A. | Zendy; Eckhaus W. | Zendy

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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.

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