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Scientific interests• During my Ph.D. thesis, I studied the controllability of the bilinear Schrödinger equation on intervals in [7,9] and on compact graphs in [6,8]. Afterwards, I addressed the problem on infinite networks in [2,3] in collaboration with Kaïs Ammari. • I'm studying the controllability of the non-linear Schrödinger equation via bilinear controls in collaboration with Vahagn Nersesyan. In [13], we proved the approximate controllability between eigenmodes on a torus of arbitrary dimension in any positive time. In [14], we proved the local exact controllability on bounded intervals equipped of Dirichlet type boundary conditions. • I am collaborating with Piermarco Cannarsa and Cristina Urbani to study the exact controllability of parabolic equations on networks via bilinear controls. Our first work on the subject is [4]. • I studied in [12] the controllability of a 1D Schrödinger equation via quasi-adiabatic controls with Dmitry Turaev and Romain Joly. I seek for numerical evidences for such result in collaboration with Carlos Castro in [5]. • I addressed with Romain Joly in [10] the well-posedness of the Schrödinger equation on time-varying domains. In collaboration with Dmitry Turaev, we study the controllability of quantum systems via quasi-adiabatic deformations of domains in [11]. • With Mama Abdelli and Akram Ben Aissa, I studied the well-posedness and the exponential stability of a Euler-Bernoulli beam conveying fluid equations in [1]. |