A balance law for some strongly coupled reaction-diffusion systems and an invariance Theorem
Saïd Kouachi · HAL (Le Centre pour la Communication Scientifique Directe) · 2016
The purpose of this paper is to prove an invariance theorem for m-components strongly coupled reaction-diffusion systems with non-homogenous boundary conditions. A characteristics of these systems have been defined and a new balance law has been constructed. Global existence in time of solutions is deduced without conditions on the nonlinearities growth.