A semilinear parabolic boundary-value problem in bioreactors theory
Date
2004-11-10
Authors
Drame, Abdou K.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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.
Description
Keywords
Bioreactors, Semilinear equations, Asymptotically autonomous, Omega limit sets
Citation
Drame, A. K. (2004). A semilinear parabolic boundary-value problem in bioreactors theory. <i>Electronic Journal of Differential Equations, 2004</i>(129), pp. 1-13.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.