Optimal control of eutrophication processes in a moving domain

被引：7
作者：
Alvarez-Vazquez, Lino J. [1 ]
Fernandez, Francisco J. [2 ]
Martinez, Aurea [1 ]
机构：
[1] Univ Vigo, Dept Matemat Aplicada 2, Vigo 36310, Spain
[2] Ctr Univ Def, Escuela Naval Militar, Marin 36920, Spain
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2014年 / 351卷 / 08期
关键词：
NAVIER-STOKES EQUATIONS; BOUNDARY CONTROL-PROBLEM; FREE-SURFACE; MODEL; IMPLEMENTATION; IDENTIFICATION; FORMULATION; MANAGEMENT; OXYGEN;
D O I：
10.1016/j.jfranklin.2014.04.012
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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. (C) 2014 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：4142 / 4182
页数：41
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