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Global existence for semilinear reaction–diffusion systems on evolving domains
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Venkataraman, Chandrasekhar, Lakkis, Omar and Madzvamuse, Anotida (2012) Global existence for semilinear reaction–diffusion systems on evolving domains. Journal of Mathematical Biology, Vol.64 (No.1-2). pp. 41-67. doi:10.1007/s00285-011-0404-x ISSN 0303-6812.
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Official URL: http://dx.doi.org/10.1007/s00285-011-0404-x
Abstract
We 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.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of Mathematical Biology | ||||
Publisher: | Springer | ||||
ISSN: | 0303-6812 | ||||
Official Date: | 2012 | ||||
Dates: |
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Volume: | Vol.64 | ||||
Number: | No.1-2 | ||||
Page Range: | pp. 41-67 | ||||
DOI: | 10.1007/s00285-011-0404-x | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published |
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