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.
@article{bwmeta1.element.bwnjournal-article-zmv26i2p133bwm,
author = {Salah Badraoui},
title = {Behaviour of global solutions for a system of reaction-diffusion equations from combustion theory},
journal = {Applicationes Mathematicae},
volume = {26},
year = {1999},
pages = {133-150},
zbl = {1019.35015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-zmv26i2p133bwm}
}
Badraoui, Salah. Behaviour of global solutions for a system of reaction-diffusion equations from combustion theory. Applicationes Mathematicae, Tome 26 (1999) pp. 133-150. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv26i2p133bwm/
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