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A Game Theory Approach for the Groundwater Pollution Control
Language
EN
Article de revue
This item was published in
SIAM Journal on Control and Optimization. 2022-06-01, vol. 60, n° 3, p. 1667-1689
English Abstract
A differential game modeling the noncooperative outcome of pollution in groundwater is studied. Spatio-temporal objectives are constrained by a convection-diffusion-reaction equation ruling the spread of the pollution in ...Read more >
A differential game modeling the noncooperative outcome of pollution in groundwater is studied. Spatio-temporal objectives are constrained by a convection-diffusion-reaction equation ruling the spread of the pollution in the aquifer, and the velocity of the flow solves an elliptic partial differential equation. The existence of a Nash equilibrium is proved using a fixed point strategy. A uniqueness result for the Nash equilibrium is also proved under some additional assumptions. Some numerical illustrations are provided.Read less <
English Keywords
PDEs
differential game theory
Nash equilibrium
hydrogeological state equations