Journal article
Limit cycles in the presence of convection, a first order analysis
- Abstract:
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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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Bibliographic Details
- Publication date:
- 2006-01-01
Item Description
- UUID:
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uuid:3df853cf-a5fb-46c8-897b-df94361798d4
- Local pid:
- oai:eprints.maths.ox.ac.uk:287
- Deposit date:
- 2011-05-19
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- Copyright date:
- 2006
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