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Reaction and diffusion on growing domains: Scenarios for robust pattern formation

Abstract:

We investigate the sequence of patterns generated by a reaction—diffusion system on a growing domain. We derive a general evolution equation to incorporate domain growth in reaction—diffusion models and consider the case of slow and isotropic domain growth in one spatial dimension. We use a self-similarity argument to predict a frequency-doubling sequence of patterns for exponential domain growth and we find numerically that frequency-doubling is realized for a finite range of exponential gro...

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Publication date:
1999-01-01
URN:
uuid:dd6e18cf-55b5-4211-9fe4-cead4d0d28d3
Local pid:
oai:eprints.maths.ox.ac.uk:423

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