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Parameter domains for Turing and stationary flow-distributed waves: I. The influence of nonlinearity

Abstract:

new type of instability in coupled reaction-diffusion-advection systems is analysed in a one-dimensional domain. This instability, arising due to the combined action of flow and diffusion, creates spatially periodic stationary waves termed flow and diffusion-distributed structures (FDS). Here we show, via linear stability analysis, that FDS are predicted in a considerably wider domain and are more robust (in the parameter domain) than the classical Turing instability patterns. FDS also repres...

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R. A. Satnoianu More by this author
P. K. Maini More by this author
M. Menzinger More by this author
Publication date:
2001
URN:
uuid:149c9df1-07e2-4dfb-9d7a-222bd1f1a1bd
Local pid:
oai:eprints.maths.ox.ac.uk:403

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