Absolute and convective instabilities in a one-dimensional Brusselator flow model

S.P. Kuznetsov, Erik Mosekilde, G. Dewel, P. Borckmans

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Abstract

The paper considers a one-dimensional Brusselator model with a uniform flow of the mixture of reaction components. An absolute as well as a convective instability can arise for both the Hopf and the Turing modes. The corresponding linear stability analysis is presented and supported by the results of computer simulations of the nonlinear equations. Finally, the condition for spatially undamped tails (the Cherenkov condition) is obtained. This represents a new mechanism for pattern formation in chemical reaction-diffusion systems. (C) 1997 American Institute of Physics.
Original languageEnglish
JournalJournal of Chemical Physics
Volume106
Issue number18
Pages (from-to)7609-7616
ISSN0021-9606
DOIs
Publication statusPublished - 1997

Bibliographical note

Copyright (1997) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

Keywords

  • SYSTEM
  • TURING PATTERNS
  • DIFFERENTIAL FLOW
  • CHEMICAL-INSTABILITY

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