<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
<p>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.</p>
</abstract>

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.

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

Control and Cybernetics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The article studies the nutrient transfer mechanism for cropping systems in polluted soils from a mathematical and optimal control point of view. The problem...

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

Published Online: Jun 28, 2022

Page range: 253 - 268

Received: Jul 01, 2020

Accepted: Feb 01, 2021

DOI: https://doi.org/10.2478/candc-2021-0013

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

© 2021 Loïc Louison et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Jun 28, 2022

Page range: 253 - 268

Received: Jul 01, 2020

Accepted: Feb 01, 2021

DOI: https://doi.org/10.2478/candc-2021-0013

Keywordsnutrient uptake, polluted soils, Nye-Tinker-Barber (NTB) model, advection-diffusion system, low-regret optimal control, singular optimality system (SOS)

© 2021 Loïc Louison et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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