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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 Madzvamuse
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.

History

Publication status

  • Published

Journal

Journal of Mathematical Biology

ISSN

0303-6812

Publisher

Springer

Issue

1-2

Volume

64

Page range

41-67

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-04-16

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