Volume 15, Number 1, January-March 2009
|Page(s)||117 - 138|
|Published online||23 January 2009|
Nash equilibrium for a multiobjective control problem related to wastewater management
Departamento de Matemática Aplicada, Universidad de Santiago de Compostela, Facultad de Matemáticas, 15782 Santiago de Compostela, Spain. email@example.com; firstname.lastname@example.org
2 Departamento de Matemática Aplicada, Universidad de Santiago de Compostela, Escola Politécnica Superior, 27002 Lugo, Spain. email@example.com
Revised: 18 July 2007
Revised: 12 October 2007
This paper is concerned with mathematical modelling in the management of a wastewater treatment system. The problem is formulated as looking for a Nash equilibrium of a multiobjective pointwise control problem of a parabolic equation. Existence of solution is proved and a first order optimality system is obtained. Moreover, a numerical method to solve this system is detailed and numerical results are shown in a realistic situation posed in the estuary of Vigo (Spain).
Mathematics Subject Classification: 49J20 / 49K20 / 90C29 / 91B76
Key words: Optimal control / pointwise control / Nash equilibrium / existence / optimality conditions / numerical simulation / wastewater management
© EDP Sciences, SMAI, 2008
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.