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Journal Articles Journal of Mathematical Analysis and Applications Year : 2023

Optimal control of lake eutrophication

Abstract

We consider an optimal control problem for lake eutrophication. The state problem is given by coupled nonlinear partial differential equations ruling the dynamics of phosphorus stock and cyanobacteria concentration. Our control is only defined on the lake shore, thus leading to a Dirichlet boundary control problem. The well-posedness of the state problem is proved. The existence of a global solution for the optimal control is the main result of this paper.
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Dates and versions

hal-04209705 , version 1 (18-09-2023)

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Catherine Choquet, Eloïse Comte. Optimal control of lake eutrophication. Journal of Mathematical Analysis and Applications, In press, 528 (2), pp.127528. ⟨10.1016/j.jmaa.2023.127528⟩. ⟨hal-04209705⟩
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