Geodesic
Behaviour of global solutions for a system of reaction-diffusion equations from combustion theory
Applicationes Mathematicae, Tome 26 (1999) no. 2, pp. 133-150

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We are concerned with the boundedness and large time behaviour of the solution for a system of reaction-diffusion equations modelling complex consecutive reactions on a bounded domain under homogeneous Neumann boundary conditions. Using the techniques of E. Conway, D. Hoff and J. Smoller [3] we also show that the bounded solution converges to a constant function as t → ∞. Finally, we investigate the rate of this convergence.
DOI : 10.4064/am-26-2-133-150
Keywords: global existence, boundedness, reaction-diffusion equations, large time behaviour

Salah Badraoui 1

1 
@article{10_4064_am_26_2_133_150,
     author = {Salah Badraoui},
     title = {Behaviour of global solutions for a system of reaction-diffusion equations from combustion theory},
     journal = {Applicationes Mathematicae},
     pages = {133--150},
     publisher = {mathdoc},
     volume = {26},
     number = {2},
     year = {1999},
     doi = {10.4064/am-26-2-133-150},
     zbl = {1019.35015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am-26-2-133-150/}
}
TY  - JOUR
AU  - Salah Badraoui
TI  - Behaviour of global solutions for a system of reaction-diffusion equations from combustion theory
JO  - Applicationes Mathematicae
PY  - 1999
SP  - 133
EP  - 150
VL  - 26
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am-26-2-133-150/
DO  - 10.4064/am-26-2-133-150
LA  - en
ID  - 10_4064_am_26_2_133_150
ER  - 
%0 Journal Article
%A Salah Badraoui
%T Behaviour of global solutions for a system of reaction-diffusion equations from combustion theory
%J Applicationes Mathematicae
%D 1999
%P 133-150
%V 26
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am-26-2-133-150/
%R 10.4064/am-26-2-133-150
%G en
%F 10_4064_am_26_2_133_150
Salah Badraoui. Behaviour of global solutions for a system of reaction-diffusion equations from combustion theory. Applicationes Mathematicae, Tome 26 (1999) no. 2, pp. 133-150. doi: 10.4064/am-26-2-133-150

Cité par Sources :