Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 129, pp. 1-13.

Title: A semilinear parabolic boundary-value problem in bioreactors theory

Author: Abdou Khadry Drame (Univ. Gaston Berger de Saint-Louis, Senegal)

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.