207 citations · 831 across the 68 of their papers we have counts for
5 papers · 1 filter
Existence of surfaces optimizing geometric and PDE shape functionals under reach constraint
Yannick Privat, Rémi Robin, Mario Sigalotti
This article deals with the existence of hypersurfaces minimizing general shape functionals under certain geometric constraints. We consider as admissible shapes orientable hypersu…
Small-time local controllability of the bilinear Schrödinger equation, despite a quadratic obstruction, thanks to a cubic term
Mégane Bournissou
We consider a 1D linear Schr{ö}dinger equation, on a bounded interval, with Dirichlet boundary conditions and bilinear control. We study its controllability around the ground state…
Stability of non-autonomous difference equations with applications to transport and wave propagation on networks
Yacine Chitour, Guilherme Mazanti, Mario Sigalotti
In this paper, we address the stability of transport systems and wave propagation on networks with time-varying parameters. We do so by reformulating these systems as non-autonomou…
Persistently damped transport on a network of circles
Yacine Chitour, Guilherme Mazanti, Mario Sigalotti
In this paper we address the exponential stability of a system of transport equations with intermittent damping on a network of circles intersecting at a single point $O…
On the controllability of quantum transport in an electronic nanostructure
Florian Méhats, Yannick Privat, Mario Sigalotti
We investigate the controllability of quantum electrons trapped in a two-dimensional device, typically a MOS field-effect transistor. The problem is modeled by the Schrödinger equa…