Σύνδεσμος:meet.google.com/sru-gxoc-gzw

Ημερομηνία: Παρασκευή 7/5/2021

Ώρα: 15:15

Ομιλητής: Μιχάλης Λουλάκης (ΣΕΜΦΕ, ΕΜΠ)

Τίτλος: Optimal management of stochastic shallow lakes

Περίληψη: Lakes provide conflicting services as clear water resources and as waste sinks to industrial or agricultural activities. We study the welfare function of a control problem for the deposition of phosphorus in shallow lakes. Stochastic analysis provides crucial properties for the welfare function e.g. regularity, monotonicity, boundary and asymptotic behaviour. We use such estimates to show that the welfare function is the unique constrained viscosity solution to a Hamilton-Jacobi-Bellman equation. Using the Barles-Souganidis scheme, we compute the welfare function numerically and we investigate the trajectories of the optimally controlled lake.

Joint work with G. Kossioris, A. Koutsibela, and P. Souganidis