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Title of Journal: J Optim Theory Appl

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Abbravation: Journal of Optimization Theory and Applications

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Springer US

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DOI

10.1016/0167-4889(90)90071-k

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ISSN

1573-2878

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Optimal Control for a Groundwater Pollution Ruled

Authors: Emmanuelle AugeraudVéron Catherine Choquet Éloïse Comte
Publish Date: 2016/10/03
Volume: 173, Issue: 3, Pages: 941-966
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Abstract

We consider an optimal control problem of underground water contaminated by agricultural pollution The economical intertemporal objective takes into account the tradeoff 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 threedimensional 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

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