%0 Journal Article %T A semilinear parabolic boundary-value problem in bioreactors theory %A Abdou Khadry Drame %J Electronic Journal of Differential Equations %D 2004 %I Texas State University %X 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. %K Bioreactors %K semilinear equation %K asymptotically autonomous %K omega limit sets. %U http://ejde.math.txstate.edu/Volumes/2004/129/abstr.html