title: Global existence for semilinear reaction-diffusion systems on evolving domains.
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.
authors.affiliation: Department of Mathematics, University of Sussex, Mantell Building, Brighton, BN1 9RF, UK. c.venkataraman@sussex.ac.uk
authors.forename: Chandrasekhar
authors.initials: C
authors.lastname: Venkataraman
authors.forename: Omar
authors.initials: O
authors.lastname: Lakkis
authors.forename: Anotida
authors.initials: A
authors.lastname: Madzvamuse
mesh_terms: D019521:Body Patterning; D007700:Kinetics; D008962:Models, Theoretical; D009716:Numerical Analysis, Computer-Assisted