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Analysis of pattern formation in reaction diffusion models with spatially inhomogeneous diffusion coefficients

Abstract:

We consider a reaction diffusion system in one spatial dimension in which the diffusion coefficients are spatially varying. We present a non-standard linear analysis for a certain class of spatially varying diffusion coefficients and show that it accurately predicts the behaviour of the full nonlinear system near bifurcation. We show that the steady state solutions exhibit qualitatively different behaviour to that observed in the usual case with constant diffusion coefficients. Specifically, ...

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D. L. Benson More by this author
P. K. Maini More by this author
J. A. Sherratt More by this author
Publication date:
1993
URN:
uuid:3216f79f-fbc5-45e0-9b8c-c9d5c2be5a0f
Local pid:
oai:eprints.maths.ox.ac.uk:501

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