A variational approach to singular perturbation problems in reaction–diffusion systems

In this paper singular perturbation problems in reaction–diffusion systems are studied from a viewpoint of variational principle. The goal of the study is to provide an unified and transparent framework to understand existence, stability and dynamics of solutions with transition layers in contrast t...

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Bibliographic Details
Published in:Physica. D 2005-08, Vol.207 (3), p.171-219
Main Authors: Ei, Shin-Ichiro, Kuwamura, Masataka, Morita, Yoshihisa
Format: Article
Language:English
Subjects:
Exact sciences and technology
Physics
Reduced energy
Singular perturbation
Transition layer
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Summary:In this paper singular perturbation problems in reaction–diffusion systems are studied from a viewpoint of variational principle. The goal of the study is to provide an unified and transparent framework to understand existence, stability and dynamics of solutions with transition layers in contrast to previous works in many literatures on singular perturbation theory.
ISSN:0167-2789
1872-8022
DOI:10.1016/j.physd.2005.05.020