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

100%

Badraoui S.

Applicationes Mathematicae

1999

tom 26

nr 2

133-150

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.

Global pointwise a priori bounds and large time behaviour for a nonlinear system describing the spread of infectious disease

100%

Kirane M.

Applicationes Mathematicae

1993-1995

tom 22

nr 1

1-9

This paper considers a reaction-diffusion system with biatic diffusion.Existence of a globally bounded solution is proved and its large timebehaviour is given.

Ograniczanie wyników

2 Applicationes Mathematicae

1 Badraoui S.

1 Kirane M.

1 1999

1 1993

Wyniki wyszukiwania

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

Global pointwise a priori bounds and large time behaviour for a nonlinear system describing the spread of infectious disease