Optimal control for a groundwater pollution ruled by a convection-diffusion-reaction problem

DOI10.1007/S10957-016-1017-8zbMath1378.49018OpenAlexW2528626821MaRDI QIDQ2412841

Emmanuelle Augeraud-Véron, Catherine Choquet, Eloïse Comte

Publication date: 27 October 2017

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-016-1017-8

zbMATH Keywords

global existencefixed point theoremoptimal control problemhydrogeological state equationsnonlinearly coupled problemparabolic and elliptic PDEs

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Regularity of solutions in optimal control (49N60) Environmental economics (natural resource models, harvesting, pollution, etc.) (91B76) Dynamical systems in control (37N35) Existence theories for optimal control problems involving partial differential equations (49J20) Dynamical systems in optimization and economics (37N40) Diffusion and convection (76R99) Parabolic equations and parabolic systems (35K99)

Related Items (11)

A symmetric mixed covolume method for the nonlinear parabolic problem ⋮ A Game Theory Approach for the Groundwater Pollution Control ⋮ Equilibrium strategies in a multiregional transboundary pollution differential game with spatially distributed controls ⋮ Compact finite-difference method for 2D time-fractional convection-diffusion equation of groundwater pollution problems ⋮ Existence, uniqueness and asymptotic analysis of optimal control problems for a model of groundwater pollution ⋮ Numerical Analysis of a Finite Volume Scheme for the Optimal Control of Groundwater Pollution ⋮ Spatial vs. non-spatial transboundary pollution control in a class of cooperative and non-cooperative dynamic games ⋮ Train Like a (Var)Pro: Efficient Training of Neural Networks with Variable Projection ⋮ Optimal buffer zone for the control of groundwater pollution from agricultural activities ⋮ Distributed optimal control models in environmental economics: a review ⋮ Managing spatial linkages and geographic heterogeneity in dynamic models with transboundary pollution

Cites Work

• Optimal pollution control with distributed delays
• Diffusion-induced instability and pattern formation in infinite horizon recursive optimal control
• Optimization of cytostatic leukemia therapy in an advection-reaction-diffusion model
• Dynamic theory of quasilinear parabolic systems. III: Global existence
• A differential game of international pollution control
• Land use dynamics and the environment
• On a degenerate parabolic system for compressible, immiscible, two-phase flows in porous media
• Linear and quasilinear elliptic equations
• Erratum: ``Dynamic theory of quasilinear parabolic systems. III: Global existence
• Equilibrium strategies in a multiregional transboundary pollution differential game with spatially distributed controls

This page was built for publication: Optimal control for a groundwater pollution ruled by a convection-diffusion-reaction problem