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

Belgacem Rebiai (1) , Saïd Benachour (2)

1 Université Larbi Tébessi [Tebessa]
2 IECN - Institut Élie Cartan de Nancy

The aim of this study is to construct the invariant regions in which we can establish the 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.

Mots clés: Reaction diffusion systems; invariant regions; Lyapunov functionals; global existence

Domaines: Equations aux dérivées partielles [math.AP]

Belgacem Rebiai, Saïd Benachour. Global existence for a strongly coupled reaction-diffusion systems with nonlinearities of exponential growth. 2010. ⟨hal-00454730⟩