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Limit cycles in the presence of convection, a first order analysis

Abstract:

We consider a diffusion model with limit cycle reaction functions. In an unbounded domain, diffusion spreads pattern outwards from the source. Convection adds instability to the reaction-diffusion system. We see the result of the instability in a readiness to create pattern. In the case of strong convection, we consider that the first-order approximation may be valid for some aspects of the solution behaviour. We employ the method of Riemann invariants and rescaling to transform the reduced s...

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Publication date:
2006-01-01
URN:
uuid:3df853cf-a5fb-46c8-897b-df94361798d4
Local pid:
oai:eprints.maths.ox.ac.uk:287

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