Geodesic
Boundedness and large-time behavior of solutions for a Gierer-Meinhardt system of three equations
Electronic Journal of Differential Equations, Tome 2015 (2015).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {2015},
     year = {2015},
     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/