RT Journal Article
T1 Asymptotic stability of a coupled Advection-Diffusion-Reaction system arising in bioreactor processes.
A1 Crespo Moya, María
A1 Ramos Del Olmo, Ángel Manuel
A1 Ivorra, Benjamín Pierre Paul
AB In this work, we perform an asymptotic analysis of a coupled system of two Advection-Diffusion-Reaction equations with Danckwerts boundary conditions, which models the interaction between a microbial population (e.g., bacterias), called biomass, and a diluted organic contaminant (e.g., nitrates), called substrate, in a continuous flow bioreactor. This system exhibits, under suitable conditions, two stable equilibrium states: one steady state in which the biomass becomes extinct and no reaction is produced, called washout, and another steady state, which corresponds to the partial elimination of the substrate. We use the method of linearization to give sufficient conditions for the asymptotic stability of the two stable equilibrium configurations. Finally, we compare our asymptotic analysis with the usual asymptotic analysis associated to the continuous bioreactor when it is modeled with ordinary differential equations.
YR 2016
FD 2016-10-18
LK https://hdl.handle.net/20.500.14352/18984
UL https://hdl.handle.net/20.500.14352/18984
LA eng
NO Ministerio de Economía y Competitividad (MINECO)
NO Universidad Complutense de Madrid y Banco de Santander
NO European Regional Development Fund (ERDF)
NO Junta de Andalucía
DS Docta Complutense
RD 7 abr 2025