Optimal control of eutrophication processes in a moving domain |
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| Authors: | Lino J Alvarez-Vázquez Francisco J Fernández Aurea Martínez |
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| Institution: | 1. Departamento de Matemática Aplicada II, EI Telecomunicación, Universidad de Vigo, 36310 Vigo, Spain;2. Centro Universitario de la Defensa, Escuela Naval Militar, 36920 Marín, Spain |
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| Abstract: | This work deals with an environmental problem related to controlling eutrophication inside a sensitive zone, by means of a regulation of the wastewater discharges in the region. After setting a detailed mathematical formulation of the optimal control problem posed on a free-boundary moving domain, we present several theoretical results on existence-regularity of optimal solutions, and their characterization by a first order optimality system. In the second part of the work a complete numerical algorithm for the resolution of the control problem is proposed, and several numerical examples are also given. |
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