Contacts
|
 |
Scientific interests• During my Ph.D. thesis, I studied the controllability of the bilinear Schrödinger equation on intervals in [4,6] and on compact graphs in [3,5]. Afterwards, I addressed the problem on infinite networks in [1,2] in collaboration with Kaïs Ammari. • I am collaborating with Kaïs Ammari and Eric Bonnetier in order to study the spectral properties and the controllability of quantum systems defined on networks combining dielectric and negative index materials. • I studied in [7] the controllability of a 1D Schrödinger equation via quasi-adiabatic controls in collaboration with Dmitry Turaev and Romain Joly. I am seeking for numerical evidences for such result in collaboration with Carlos Castro. • I addressed with Romain Joly in [9] the well-posedness of the Schrödinger equation on time-varying domains. In collaboration with Dmitry Turaev, we are studying the controllability of quantum systems via quasi-adiabatic deformations of domains. • With Mama Abdelli and Akram Ben Aissa, I am studying the well-posedness and the exponential stability of different Euler-Bernoulli beam conveying fluid equations. Our first results lead to [8]. • I am currently collaborating with Piermarco Cannarsa and Cristina Urbani to study the exact controllability of parabolic equations on networks via bilinear controls. |