Global existence for a strongly coupled reaction-diffusion systems with nonlinearities of exponential growth

Saïd Benachour, Belgacem Rebiai

The aim of this study is to construct invariant regions in which we can establish global existence of classical solutions for reaction-diffusion systems with a general full matrix of diffusion coefficients. Our techniques are based on invariant regions and Lyapunov functional methods. The nonlinear reaction term has been supposed to be of exponential growth.