Said Kouachi and Belgacem Rebiai
abstract:
The aim of this study is to prove the global existence of solutions for
reaction-diffusion systems with a tridiagonal matrix of diffusion coefficients
and nonhomogeneous boundary conditions. In so doing, we make use of the
appropriate techniques which are based on invariant domains and Lyapunov
functional methods. The nonlinear reaction term has been supposed to be of
polynomial growth. This result is a continuation of that by Kouachi (2004).
Mathematics Subject Classification: 35K45, 35K57
Key words and phrases: Reaction diffusion systems, invariant domains, Lyapunov functionals, global existence