TITLE:
Global Existence of Solutions of the Gierer-Meinhardt System with Mixed Boundary Conditions
AUTHORS:
Kwadwo Antwi-Fordjour, Marius Nkashama
KEYWORDS:
Activator-Inhibitor System, Gierer-Meinhardt System, Robin and Neumann Boundary Conditions, Global Existence
JOURNAL NAME:
Applied Mathematics,
Vol.8 No.6,
June
29,
2017
ABSTRACT: We study the global (in time) existence of nonnegative solutions of the Gierer-Meinhardt system with mixed boundary conditions. In the research, the Robin boundary and Neumann boundary conditions were used on the activator and the inhibitor conditions respectively. Based on the priori estimates of solutions, the considerable results were obtained.