Alessandro Duca

Contacts


E-mail

alessandro.duca@uvsq.fr

alessandro.duca@univ-grenoble-alpes.fr

alessandro.duca@unito.it

 

Address

Université Paris-Saclay, UVSQ,
Laboratoire de Mathématiques de Versailles.


Office

Bâtiment Fermat, B 3302

 

       

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].

Curriculum Vitae:

Positions held:

Grants and Projects:

Publications:

  1. K. Ammari, A. Duca. Controllability of localized quantum states on infinite graphs through bilinear control fields. To appear in International Journal of Control, 2019. DOI, link1, link2.

  2. K. Ammari, A. Duca. Controllability of periodic bilinear quantum systems on infinite graphs. To appear in Journal of Mathematical Physics, 2020. DOI, link1, link2.

  3. A. Duca. Bilinear quantum systems on compact graphs: well-posedness and global exact controllability. To appear in Automatica J. IFAC, 2020. link1, link2.

  4. A. Duca. Controllability of bilinear quantum systems in explicit times via explicit control fields. To appear in International Journal of Control, 2019. DOI, link1, link2.

  5. A. Duca. Global exact controllability of bilinear quantum systems on compact graphs and energetic controllability. To appear in SIAM J. Control Optim., 2020.link1, link2.

  6. A. Duca. Simultaneous global exact controllability in projection of infinite 1D bilinear Schrödinger equations. Dynamics of Partial Differential Equations, 17(3):275--306, 2020. DOI, link1, link2.

  7. A. Duca, R. Joly, D. Turaev. Permuting quantum eigenmodes by a quasi-adiabatic motion of the potential wall. To appear in Journal of Mathematical Physics, 2020. DOI, link1, link2.

Preprints:

  1. M. Abdelli, A. Ben Aissa, A. Duca, Well-posedness and exponential decay for the Euler-Bernoulli beam conveying fluid with non-constant velocity and dynamical boundary conditions. link1, link2.

  2. A. Duca, R. Joly. Schrödinger equation in moving domains. link1, link2.

Talks in conferences, workshops and schools: