Existence and Uniqueness of Solution of a Continuous Flow Bioreactor Model with Two Species.
| dc.contributor.author | Crespo Moya, María | |
| dc.contributor.author | Ivorra, Benjamín Pierre Paul | |
| dc.contributor.author | Ramos Del Olmo, Ángel Manuel | |
| dc.date.accessioned | 2023-06-18T05:40:27Z | |
| dc.date.available | 2023-06-18T05:40:27Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | 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. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Ministry of Science and Innovation | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/27106 | |
| dc.identifier.doi | 10.1007/s13398-015-0237-3 | |
| dc.identifier.issn | 1578-7303 | |
| dc.identifier.officialurl | http://link.springer.com/article/10.1007%2Fs13398-015-0237-3 | |
| dc.identifier.relatedurl | http://arxiv.org/abs/1410.4681 | |
| dc.identifier.relatedurl | http://www.springer.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/22974 | |
| dc.issue.number | 2 | |
| dc.journal.title | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | |
| dc.language.iso | eng | |
| dc.page.final | 377 | |
| dc.page.initial | 357 | |
| dc.publisher | Springer | |
| dc.relation.projectID | MTM2011-22658 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.keyword | Existence | |
| dc.subject.keyword | Uniqueness | |
| dc.subject.keyword | Reaction-diffusion-advection | |
| dc.subject.keyword | Nonlinear parabolic system | |
| dc.subject.keyword | Bioreactor | |
| dc.subject.ucm | Análisis funcional y teoría de operadores | |
| dc.subject.ucm | Ecuaciones diferenciales | |
| dc.subject.unesco | 1202.07 Ecuaciones en Diferencias | |
| dc.title | Existence and Uniqueness of Solution of a Continuous Flow Bioreactor Model with Two Species. | |
| dc.type | journal article | |
| dc.volume.number | 110 | |
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