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

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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. 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
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