2026-06-01T01:09:53Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/229742025-02-17T13:10:28Zcom_20.500.14352_14col_20.500.14352_15

Existence and Uniqueness of Solution of a Continuous Flow Bioreactor Model with Two Species. Crespo Moya, María Ivorra, Benjamín Pierre Paul Ramos Del Olmo, Ángel Manuel Existence Uniqueness Reaction-diffusion-advection Nonlinear parabolic system Bioreactor Análisis funcional y teoría de operadores Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias 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. Ministry of Science and Innovation Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-18T05:40:27Z 2023-06-18T05:40:27Z 2016 journal article https://hdl.handle.net/20.500.14352/22974 1578-7303 10.1007/s13398-015-0237-3 eng MTM2011-22658 restricted access application/pdf application/pdf Springer