Fernández Fernández, Francisco JavierMartínez Varela, Áurea MaríaÁlvarez Vázquez, Lino José2022-11-082022-11-082022Journal of Computational and Applied Mathematics 421 (2023) 114886http://hdl.handle.net/10347/29384In 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 approacheng© 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/)Attribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Optimal controlNumerical optimizationArtificial recirculationEutrophicationjournal article10.1016/j.cam.2022.1148860377-0427open access