Optimal control of lake eutrophication

被引：1
|
作者：
Choquet, Catherine [1 ]
Comte, Eloise [2 ]
机构：
[1] La Rochelle Univ, MIA, F-17000 La Rochelle, France
[2] Univ Clermont Auvergne, Ctr Clermont Ferrand, INRAE, UR LISC, F-63178 Aubiere, France
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 528卷 / 02期
关键词：
Optimal control; Nonlinear PDEs; Dirichlet boundary control; Water pollution; DIRICHLET BOUNDARY CONTROL; APPROXIMATION; ECOSYSTEMS;
D O I：
10.1016/j.jmaa.2023.127528
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 wellposedness of the state problem is proved. The existence of a global solution for the optimal control is the main result of this paper.& COPY; 2023 Elsevier Inc. All rights reserved.
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页数：19
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