RT Journal Article
T1 Existence and Uniqueness of Solution of a Continuous Flow Bioreactor Model with Two Species.
A1 Crespo Moya, María
A1 Ivorra, Benjamín Pierre Paul
A1 Ramos Del Olmo, Ángel Manuel
AB In this work, we study the mathematical analysis of a coupled system of two reaction-diffusion-advection equations and Danckwerts boundary conditions, which models the interaction between a microbial population (e.g., bacterias) and a diluted substrate (e.g., nitrate) in a continuous flow bioreactor. This type of bioreactor can be used, for instance, for water treatment. First, we prove the existence and uniqueness of solution, under the hypothesis of linear reaction by using classical results for linear parabolic boundary value problems. Next, we prove the existence and uniqueness of solution for some nonlinear reactions by applying \textit{Schauder Fixed Point Theorem} and the theorem obtained for the linear case. Results about the nonnegativeness and boundedness of the solution are also proved here.
PB Springer
SN 1578-7303
YR 2016
FD 2016
LK https://hdl.handle.net/20.500.14352/22974
UL https://hdl.handle.net/20.500.14352/22974
LA eng
NO Ministry of Science and Innovation
DS Docta Complutense
RD 29 abr 2025