AUGERAUD VERON, Emmanuelle; CHOQUET, Catherine; COMTE, Éloïse

doi:10.1007/s10957-016-1017-8

Métadonnées

Afficher la notice complète

Licence d’utilisation du document

AUGERAUD VERON, Emmanuelle

Groupe de Recherche en Economie Théorique et Appliquée [GREThA]

CHOQUET, Catherine

COMTE, Éloïse

Langue

Article de revue

Ce document a été publié dans

Journal of Optimization Theory and Applications. 2016-10-03, vol. 173, n° 3, p. 941-966

Résumé en anglais

We 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.< Réduire

Mots clés en anglais

Optimal control problem

Hydrogeological state equations

Nonlinearly coupled problem

Parabolic and elliptic PDEs

Global existence

Fixed point theorem

Métadonnées

Partager cette publication !

Licence d’utilisation du document

Optimal Control for a Groundwater Pollution Ruled by a Convection–Diffusion–Reaction Problem

Langue

Ce document a été publié dans

Résumé en anglais

Mots clés en anglais

URI

DOI

Unités de recherche