SUPERVISION OF Ph.D. THESES
Ongoing
2) I. R., research subject: Optimal control and differential games for moving masses in infinite dimensions spaces, XL Cycle.
1) S. M., research subject: Scalar conservation laws and hysteresis phenomena, XXXIX Cycle.
Defended
2) L. M.: "Some optimal visiting problems: from a single player to a mean-field type model", XXXIV Cycle, Thesis defended on July 2022
1) R. M.: "On some optimal control problems on networks, stratified domains, and controllability of
motion in fluids", XXIX Cycle, Thesis defended on June 2017
Possible arguments' proposals for new Ph.D. students (only for students already selected by the Ph.D. Program of the University of Trento).
1) Optimal control, differential games and viscosity solutions of Hamilton-Jacobi equations, both in finite and infinite dimensions.
2) Dynamic games and flows on networks, with delay and nonlocal functional dependence and mean field approaches.
3) Controllability of systems with nonlocal functional dependence: delay, memory and hysteresis.
4) Partial differential equations: scalar conservation laws and parabolic equations with nonlocal feature.
All these possible arguments are meant in the framework of Mathematical Analysis, in particular of Functional Analysis and Weak Solutions for Differential Equations.