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Singularity theory concepts for a class of reaction-diffusion systems

✍ Scribed by Dirk Meinköhn

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
798 KB
Volume
46
Category
Article
ISSN
0009-2509

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✦ Synopsis

In the class of reaction-diKusion systems mathematically represented by the boundary value problem of Fourier's equation, necessary conditions for the appearance of singularities of codimension 1,2 and 3 (folds, cusps and swallow-tails) have been derived. The class of problems is characterized by a nonlinear function w(y) which comprises the Arrhenius exponential and an algebraic factor. The derived conditions are shown to be independent of geometry, if the "reaction vessel" possesses a center of symmetry. A numerical example provides an impression of the power of the method.

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