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In this work, the artificial recirculation of water is presented andanalyzed, from the perspective of the optimal control of partial differentialequations, as a tool to prevent eutrophication effects in large waterbodies. Anovel formulation of the environmental problem, based on the coupling ofnonlinear models for hydrodynamics, water temperature and concentrations of thedifferent species involved in the eutrophication processes, is introduced.After a complete and rigorous analysis of the existence of optimal solutions, afull numerical algorithm for their computation is proposed. Finally, somenumerical results for a realistic scenario are shown, in order to prove theefficiency of our approach.

An optimization problem related to water artificial recirculation for controlling eutrophication