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. http://geodesic.mathdoc.fr/articles/10.4064/am-26-2-133-150/

Cité par Sources :