U.F.R. Sciences Appliquées et Technologie
Université Gaston Berger de Saint-Louis, Sénégal
INRA - U.M.R Analyse des Systèmes et Biomètrie
2, Place Viala, 34060 Montpellier, France
email: drame@ensam.inra.fr
Abdou Khadry Drame
Abstract:
In this paper, we analyze a dynamical model describing the behavior
of bioreactors with diffusion. We obtain a convergence result for
solutions of asymptotically autonomous semilinear parabolic equations
to steady state solutions of the limiting equations.
This allows us to establish the convergence of solutions of the
initial value problem that describes the dynamics of the bioreactor.
Submitted September 10, 2004. Published November 10, 2004.
Math Subject Classifications: 92B05, 35B40, 35K60.
Key Words: Bioreactors; semilinear equation; asymptotically autonomous;
omega limit sets.
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Abdou Khadry Dramé U.F.R. Sciences Appliquées et Technologie Université Gaston Berger de Saint-Louis, Sénégal
INRA - U.M.R Analyse des Systèmes et Biomètrie |
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