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ArticleOriginal scientific text

Title

Behaviour of global solutions for a system of reaction-diffusion equations from combustion theory

Authors 1

Affiliations

  1. Institut des Sciences Exactes, Université 8 mai 1945, BP. 401, Guelma 24000, Algeria

Abstract

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.

Keywords

ENG
global existence, boundedness, reaction-diffusion equations, large time behaviour

Bibliography

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Applicationes Mathematicae
1999/26/2
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Pages:
133-150
Main language of publication
English
Received
1998-06-15
Accepted
1998-11-19
Published
1999
Exact and natural sciences