arXiv subjects
Publications and source records attributed to Arianna Vicari.
A Moser-type construction for the kinetic Liouville equation is proposed, which is based on a characteristic-adapted interpolation. For Hamiltonian accelerations, the construction is reduced to a family of weighted elliptic problems in the velocity variable. The corresponding kinetic compatibility condition is derived.
We consider the problem of transporting \nota{one probability measure into another through} the flow of a given driftless control-affine system. Under suitable regularity conditions, the controllability of the system by means of open-loop controls is a sufficient condition for the existence of time-varying feedback controls such that the $1$-time flow of the system is the optimal transport map for the quadratic cost.