水体人工回灌控制富营养化的最优化问题
An optimization problem related to water artificial recirculation for controlling eutrophication
摘要：
在这项工作中，人工再循环的水提出和分析，从偏微分方程的最优控制的角度来看，作为一种工具，以防止富营养化的影响，在大型水体。介绍了一种新的环境问题的表述，基于水动力学、水温和参与富营养化过程的不同物种的浓度的非线性模型的耦合。在对问题的最优解的存在性进行了全面而严格的分析之后，提出了一种计算最优解的全数值算法。最后，一个现实的情况下，一些数值结果显示，为了证明我们的方法的效率。
英文摘要：
In this work, the artificial recirculation of water is presented and analyzed, from the perspective of the optimal control of partial differential equations, as a tool to prevent eutrophication effects in large waterbodies. A novel formulation of the environmental problem, based on the coupling of nonlinear models for hydrodynamics, water temperature and concentrations of the different species involved in the eutrophication processes, is introduced. After a complete and rigorous analysis of the existence of optimal solutions, a full numerical algorithm for their computation is proposed. Finally, some numerical results for a realistic scenario are shown, in order to prove the efficiency of our approach.
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