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dc.rights.licenseopenen_US
hal.structure.identifierGroupe de Recherche en Economie Théorique et Appliquée [GREThA]
dc.contributor.authorAUGERAUD VERON, Emmanuelle
dc.contributor.authorCHOQUET, Catherine
dc.contributor.authorCOMTE, Éloïse
dc.date.accessioned2020-06-17T08:49:46Z
dc.date.available2020-06-17T08:49:46Z
dc.date.issued2016-10-03
dc.identifier.issn0022-3239en_US
dc.identifier.urioai:crossref.org:10.1007/s10957-016-1017-8
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/7965
dc.description.abstractEnWe consider an optimal control problem of underground water contaminated by agricultural pollution. The economical intertemporal objective takes into account the trade-off between fertilizer use and cleaning costs. It is constrained by a hydrogeological model for the spread of the pollution in the aquifer. This model consists in a parabolic partial differential equation which is nonlinearly coupled through the dispersion tensor with an elliptic equation, in a three-dimensional domain. We prove the existence of a global optimal solution under various regularity assumptions and for a wide variety of boundary conditions. We also provide an asymptotic controllability result.
dc.language.isoENen_US
dc.sourcecrossref
dc.subject.enOptimal control problem
dc.subject.enHydrogeological state equations
dc.subject.enNonlinearly coupled problem
dc.subject.enParabolic and elliptic PDEs
dc.subject.enGlobal existence
dc.subject.enFixed point theorem
dc.title.enOptimal Control for a Groundwater Pollution Ruled by a Convection–Diffusion–Reaction Problem
dc.typeArticle de revueen_US
dc.identifier.doi10.1007/s10957-016-1017-8
dc.subject.halÉconomie et finance quantitative [q-fin]en_US
bordeaux.journalJournal of Optimization Theory and Applicationsen_US
bordeaux.page941-966en_US
bordeaux.volume173en_US
bordeaux.hal.laboratoriesGroupe de Recherche en Economie Théorique et Appliquée (GREThA) - UMR 5113en_US
bordeaux.issue3en_US
bordeaux.institutionUniversité de Bordeauxen_US
bordeaux.peerReviewedouien_US
bordeaux.inpressnonen_US
bordeaux.import.sourcedissemin
hal.identifierhal-03145774
hal.version1
hal.date.transferred2021-02-18T14:49:58Z
hal.exporttrue
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