Mostrerò alcuni risultati di log-concavità della prima autofunzione di operatori ellittici lineari e illustrerò la loro connessione con la stima del cosiddetto gap fondamentale. Discuterò inoltre la v...
Physical systems such as gas networks are usually operated in a state of equilibrium and one is interested in stable systems, where small perturbations are damped over time. This talk is devoted to th...
Hamilton-Jacobi-Bellman (HJB) equation plays a central role in optimal control and differential games, enabling the computation of robust controls in feedback form. The main disadvantage for this appr...
This talk is devoted to the numerical approximation of mean field games problems. We consider two cases: a first order problem, i.e the diffusion is null, and a second order problem. For the first one...
This talk is devoted to the modeling and the stability of multi-lane traffic flow in the microscopic and macroscopic frameworks. First we present the study of a second order microscopic Follow-the-Lea...
In this talk, I will introduce a filtering technique for Discontinuous Galerkin approximations of hyperbolic problems. After a brief overview of classical monotonization techniques, I will present an ...
The stochastic Landau-Lifshitz-Gilbert equation describes magnetization dynamics in ferromagnetic materials in a thermal bath. In this presentation I discuss the optimal control of a finite spin syste...
Geophysical fluid dynamics consider domains with horizontal length scales much larger than the vertical ones. In this regime, simplified mathematical models based on the hydrostatic approximation can ...
We are interested in the development of a numerical method for solving optimal control problems governed by hyperbolic systems of conservation laws. The main difficulty of computing the derivative in ...
In this talk, I will present our recent analysis results on some car-following models, i.e., the intelligent driver's model (IDM) and the Bando-Follow the leader (Bando-FtL) model. In particular, we s...
We introduce a bilevel problem of the optimal control of an interacting agent system that can be interpreted as a Stackelberg game with a large number of followers. It is shown that the model is well ...
We are interested in the numerical simulation of liquid-gas mixtures, where the sound speed of the liquid phase is consistently faster than the one of the gas phase. If in addition, the material wave ...
