Geodesic
Boundedness and large-time behavior of solutions for a Gierer-Meinhardt system of three equations
Electronic journal of differential equations, Tome 2015 (2015)
The aim of this work is to prove the uniform boundedness and the existence of global solutions for Gierer-Meinhardt model of three substance described by reaction-diffusion equations with Neumann boundary conditions. Based on a Lyapunov functional we establish the asymptotic behaviour of the solutions.
Classification : 35K57
Keywords: Gierer-Meinhardt system, Lyapunov functional, uniform boundedness 
@article{EJDE_2015__2015__a37,
     author = {Henine,  Safia and Abdelmalek,  Salem and Youkana,  Amar},
     title = {Boundedness and large-time behavior of solutions for a {Gierer-Meinhardt} system of three equations},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1433.35169},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a37/}
}
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Henine,  Safia; Abdelmalek,  Salem; Youkana,  Amar. Boundedness and large-time behavior of solutions for a Gierer-Meinhardt system of three equations. Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a37/