In this article, we propose a general framework for the study of differential inclusions in the
Wasserstein space of probability measures. Based on earlier geometric insights on the …

In this article, we investigate some of the fine properties of the value function associated with
an optimal control problem in the Wasserstein space of probability measures. Building on …

In this article, we provide sufficient conditions under which the controlled vector fields
solution of optimal control problems formulated on continuity equations are Lipschitz regular …

We study controllability of a partial differential equation of transport type that arises in crowd
models. We are interested in controlling it with a control being a vector field, representing a …

We study a family of optimal control problems in which one aims at minimizing a cost that
mixes a quadratic control penalization and the variance of the system, both for finitely many …

In this work, we study the minimal time to steer a given crowd to a desired configuration. The
control is a vector field, representing a perturbation of the crowd velocity, localized on a fixed …