Optimal control of advection-diffusion problems for cropping systems in polluted soils

• Autorzy: Louison Loïc , Omrane Abdennebi
• Języki publikacji: EN

Abstrakty

EN

The article studies the nutrient transfer mechanism for cropping systems in polluted soils from a mathematical and optimal control point of view. The problem under consideration is governed by an advection-diffusion PDE in a bounded domain. The existence of a solution is obtained. We also determine the optimal amount of required nutrients at the root surface for plants where the soil is polluted by an unknown source. The characterization of the optimal control by a singular optimality system is obtained.

Słowa kluczowe

EN

nutrient uptake; polluted soils; Nye-Tinker-Barber model; NTB model; advection-diffusion system; low-regret optimal control; singular optimality system; SOS

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2021
• Tom: Vol. 50, No. 2
• Strony: 253--268
• Opis fizyczny: Bibliogr. 20 poz., rys.

Twórcy

autor

Louison Loïc

• Université de Guyane, UMR EcoFoG, Campus de Troubiran, 97337 Cayenne (France)

autor

Omrane Abdennebi

• Université de Guyane, UMR EcoFoG, Campus de Troubiran, 97337 Cayenne (France)

Bibliografia

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