Pattern formation in a simple chemical system with general orders of autocatalysis and decay. I. Stability analysis
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AbstractIn this preliminary paper we introduce a mathematical model based on an autocatalytic reaction scheme with termination, and general reaction orders. Rigorous stability analysis and numerical solutions are presented which illustrate that the problem can for certain parameter values admit a stable stationary pattern in the concentration of the autocatalyst and reactant. This pattern forms at the rear of a permanent form travelling wave or pulse solution. (C) 2003 Elsevier Science B.V. All rights reserved.
All Author(s) ListLeach JA, Wei JC
Journal namePhysica D: Nonlinear Phenomena
Year2003
Month6
Day15
Volume Number180
Issue Number3-4
PublisherELSEVIER SCIENCE BV
Pages185 - 209
ISSN0167-2789
LanguagesEnglish-United Kingdom
Keywordspattern formation; stability analysis; travelling wave
Web of Science Subject CategoriesMathematics; Mathematics, Applied; MATHEMATICS, APPLIED; Physics; Physics, Mathematical; PHYSICS, MATHEMATICAL; Physics, Multidisciplinary; PHYSICS, MULTIDISCIPLINARY

Last updated on 2020-22-10 at 00:18