Global existence for semilinear reaction-diffusion systems on evolving domains
Pattern Formation and Solitons
2011-04-06 v3 Dynamical Systems
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.
Cite
@article{arxiv.1005.4493,
title = {Global existence for semilinear reaction-diffusion systems on evolving domains},
author = {Chandrasekhar Venkataraman and Omar Lakkis and Anotida Madzvamuse},
journal= {arXiv preprint arXiv:1005.4493},
year = {2011}
}
Comments
24 pages, 3 figures