Journal of Applied Mathematics 
Volume 2005 (2005), Issue 1, Pages 23-36
doi:10.1155/JAM.2005.23

Global solutions of a strongly coupled reaction-diffusion system with different diffusion coefficients

L. W. Somathilake and J. M. J. J. Peiris

 Department of Mathematics, University of Ruhuna, Matara, Sri Lanka
Received 30 January 2004; Revised 30 August 2004

Abstract

We deal with a mathematical model for a four-component chemical reaction-diffusion process. The model is described by a system of strongly coupled reaction-diffusion equations with different diffusion rates. The existence of the global solution of this reaction-diffusion system in unbounded domain is proved by using semigroup theory and estimates on the growth of solutions.