5 papers
Approximate controllability of a bilinear wave equation and minimum time
Karine Beauchard, Thomas Perrin, Eugenio Pozzoli
We study the global approximate controllability (GAC) of a Klein-Gordon wave equation, posed on the torus of arbitrary dimension , with bilinear c…
Orbits and attainable Hamiltonian diffeomorphisms of mechanical Liouville equations
Bettina Kazandjian, Eugenio Pozzoli, Mario Sigalotti
We study the approximate controllability problem for Liouville transport equations along a mechanical Hamiltonian vector field. Such PDEs evolve inside the orbit $$\mathcal{O}(ρ_0)…
Small-time global approximate controllability of bilinear wave equations
Eugenio Pozzoli
We consider a bilinear control problem for the wave equation on a torus of arbitrary dimension. We show that the system is globally approximately controllable in arbitrarily small…
Embedding the Grushin Cylinder in and Schroedinger evolution
Ivan Beschastnyi, Ugo Boscain, Daniele Cannarsa +1
We consider the evolution of a free quantum particle on the Grushin cylinder, under different type of quantizations. In particular we are interested to understand if the particle c…
Small-time bilinear control of Schrödinger equations with application to rotating linear molecules
Thomas Chambrion, Eugenio Pozzoli
In [14] Duca and Nersesyan proved a small-time controllability property of nonlinear Schrödinger equations on a d-dimensional torus . In this paper we study a similar…