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Global existence for semilinear reaction-diffusion systems on evolving domains
journal contribution
posted on 2023-06-08, 11:19 authored by Chandrasekhar VenkataramanChandrasekhar Venkataraman, Omar LakkisOmar Lakkis, Anotida MadzvamuseAnotida MadzvamuseWe present global existence results for solutions of reaction–diffusion systems on evolving domains. Global existence results for a class of reaction–diffusion systems on fixed domains are extended to the same systems posed on spatially linear isotropically evolving domains. The results hold without any assumptions on the sign of the growth rate. The analysis is valid for many systems that commonly arise in the theory of pattern formation. We present numerical results illustrating our theoretical findings.
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Publication status
- Published
Journal
Journal of Mathematical BiologyISSN
0303-6812Publisher
SpringerExternal DOI
Issue
1-2Volume
64Page range
41-67Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-04-16Usage metrics
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