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

DOI10.1002/MMA.1670020109zbMath0431.35052OpenAlexW2006659647MaRDI QIDQ3868177

Piero De Mottoni, Tesei, Alberto

Publication date: 1980

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670020109

zbMATH Keywords

Dirichlet boundary conditionsLaplacianasymptotic techniquesfast oscillationsrepresentation of the solutiondiverging neutron speedexistence of a nontrivial equilibrium solutionslow decay factortime course of a fast neutron reactor

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Singular perturbations in context of PDEs (35B25) Asymptotic properties of solutions to ordinary differential equations (34D05) Asymptotic expansions of solutions to ordinary differential equations (34E05) Representations of solutions to partial differential equations (35C99)

Cites Work

• Formal Approximations and Singular Perturbations
• Asymptotic stability results for system of quasilinear parabolic equations
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