Controlling eutrophication by means of water recirculation: An optimal control perspective

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimizacióngl
dc.contributor.authorFernández Fernández, Francisco Javier
dc.contributor.authorMartínez Varela, Áurea María
dc.contributor.authorÁlvarez Vázquez, Lino José
dc.date.accessioned2022-11-08T13:55:20Z
dc.date.available2022-11-08T13:55:20Z
dc.date.issued2022
dc.description.abstractIn this work, the artificial recirculation of water is presented and analyzed, from the perspective of the optimal control of partial differential equations, as a tool to prevent eutrophication effects in large waterbodies. A novel formulation of the environmental problem, based on the coupling of nonlinear models for hydrodynamics, water temperature and concentrations of the different species involved in the eutrophication processes, is introduced. After a complete and rigorous analysis of the existence of optimal solutions, a full numerical algorithm for their computation is proposed. Finally, some numerical results for a realistic scenario are shown, in order to prove the efficiency of our approachgl
dc.description.peerreviewedSIgl
dc.description.sponsorshipThe authors would like to thank the anonymous referees for their interesting comments, suggestions and corrections, as they have greatly contributed to improve the quality of the manuscript. The authors were partially supported by Xunta de Galicia, Spain, project ED431C 2019/02, and by the Agencia Estatal de Investigación (AEI) of Spain under grant MTM2016-75140-P, co-financed by the European Community fund FEDERgl
dc.identifier.citationJournal of Computational and Applied Mathematics 421 (2023) 114886gl
dc.identifier.doi10.1016/j.cam.2022.114886
dc.identifier.essn0377-0427
dc.identifier.urihttp://hdl.handle.net/10347/29384
dc.language.isoenggl
dc.publisherElseviergl
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-75140-P/ESgl
dc.relation.publisherversionhttps://doi.org/10.1016/j.cam.2022.114886gl
dc.rights© 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons. org/licenses/by-nc-nd/4.0/)gl
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.accessRightsopen accessgl
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectOptimal controlgl
dc.subjectNumerical optimizationgl
dc.subjectArtificial recirculationgl
dc.subjectEutrophicationgl
dc.titleControlling eutrophication by means of water recirculation: An optimal control perspectivegl
dc.typejournal articlegl
dc.type.hasVersionVoRgl
dspace.entity.typePublication
relation.isAuthorOfPublication1c2d83c1-9cfe-4c00-b7d4-40de686787eb
relation.isAuthorOfPublication.latestForDiscovery1c2d83c1-9cfe-4c00-b7d4-40de686787eb

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