Position Associate professor
Teaching department
Faculté des Sciences et Technologies
Faculté des Sciences et Technologies
Research group Partial Differential Equations
Mail
IECL – Site de Nancy
Faculté des sciences et Technologies
Campus, Boulevard des Aiguillettes
54506 Vandœuvre-lès-Nancy
Email alessandro.duca@univ-lorraine.fr
Office 327
Presentation:
- From October 2024: Coordinator of the Nancy pole of the ANR project QuBiCCS (project manager: Nabile Boussaid; project poles : Besançon – Nancy).
- From October 2022: Unlimited-term Researcher, Associate Professor, ISFP at Centre Inria Nancy – Grand Est (France).
- February 2022 – October 2022: Tenure track Assistant professor (“Ricercatore di tipo B”) at the University of Naples – Parthenope (Italy).
- October 2020 – February 2022: Post-Doctoral position at the “Laboratoire de Mathématique de Versailles” financed by “Fondation Mathématiques Jacques Hadamard” (Supervised by Vahagn Nersesyan).
- September 2018 – September 2020: Post-Doctoral position at the Institut Fourier financed by ANR ISDEEC: Interaction entre Systèmes Dynamiques, Equations d’Evolution et Contrôle (Supervised by Romain Joly).
- 2014 – 2018: PhD student in mathematics in the institutions “Università degli studi di Torino” (Italy), “Politecnico di Torino” (Italy) and “Université de Bourgogne Franche-Comté” (France) (supervised by Nabile Boussaid, Thomas Chambrion and Riccardo Adami).
Main publications:
- A. Duca. Global exact controllability of bilinear quantum systems on compact graphs and energetic controllability. SIAM Journal on Control and Optimization, 2020. DOI, PDF.
- A. Duca, R. Joly, D. Turaev. Control of the Schrödinger equation by slow deformations of the domain. Annales de l’Institut Henri Poincaré, Analyse non linéaire, 2023. DOI, PDF.
- A. Duca, V. Nersesyan. Bilinear control and growth of Sobolev norms for the nonlinear Schrödinger equation. Journal of the European Mathematical Society, 2024. DOI, PDF.
Other publications:
- 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. Zeitschrift fuer Angewandte Mathematik und Physik, 2021. DOI, PDF.
- K. Ammari, A. Duca. Controllability of localized quantum states on infinite graphs through bilinear control fields. International Journal of Control, 2021. DOI, PDF.
- K. Ammari, A. Duca. Controllability of periodic bilinear quantum systems on infinite graphs. Journal of Mathematical Physics, 2020.DOI, PDF.
- P. Cannarsa, A. Duca, C. Urbani. Exact controllability to eigensolutions of the bilinear heat equation on compact networks. Discrete Contin. Dyn. Syst. – S, 2022. DOI, PDF.
- C. Castro, A. Duca. Achieving energy permutation of modes in the Schrödinger equation with moving Dirac potentials. Mathematical Control and Related Fields, 2023, in press. PDF.
- A. Duca. Bilinear quantum systems on compact graphs: well-posedness and global exact controllability. Automatica J. IFAC, 2021. DOI, PDF.
- A. Duca. Controllability of bilinear quantum systems in explicit times via explicit control fields. International Journal of Control, 2021. DOI, PDF.
- A. Duca. Simultaneous global exact controllability in projection of infinite 1D bilinear Schrödinger equations. Dynamics of Partial Differential Equations, 2020. DOI, PDF.
- A. Duca, R. Joly. Schrödinger equation in moving domains. Annales Henri Poincaré, 2021. DOI, PDF.
- A. Duca, R. Joly, D. Turaev. Permuting quantum eigenmodes by a quasi-adiabatic motion of the potential wall. Journal of Mathematical Physics, 2020. DOI, PDF.
- A. Duca, V. Nersesyan. Local exact controllability of the 1D nonlinear Schrödinger equation in the case of Dirichlet boundary conditions, SIAM Journal on Control and Optimization, in press 2024. PDF.
- A. Duca, E. Pozzoli. Small-time controllability for the nonlinear Schrödinger equation on $\mathbb{R}^N$ via bilinear electromagnetic fields, SIAM Journal on Control and Optimization, in press 2024. PDF.
Preprints:
- K. Ammari, E. Bonnetier, A. Duca. Networks of sign-changing metamaterials: existence and spectral properties, 2024. PDF.
- R. Buffe, A. Duca. Exact controllability to eigensolutions of the heat equation via bilinear controls on two-dimensional domains, 2024. PDF.
- A. Duca, E. Pozzoli, C. Urbani. On the small-time bilinear control of a nonlinear heat equation: global approximate controllability and exact controllability to trajectories, 2024. PDF.
Invited speaker to talks in conferences, workshops and schools:
- Journées ANR QuBiCCS, October 2024, Besançon (France).
- Control Theory & Inverse Problems (CTIP 2024), May 2024, Monastir (Tunisia).
- JEDP de l’IECL, March 2024, Université de Lorraine, Nancy (France).
- 10 ans de l’IECL, October 2023, Université de Lorraine, Nancy (France).
- ICIAM Congress, Minisymposium: Interplay between controllability and qualitative aspects of stochastic dynamical systems, August 2023, Waseda University, Tokyo (Japan).
- Journées QUACO, June 2023, Laboratory Jacques-Louis Lions, Paris (France).
- Journée scientifique Matière, systèmes et dispositifs quantique, June 2023, Université de Lorraine, Nancy (France).
- Winter School on Control, stability and Singularities formation in Nonlinear PDE’s, December 2022, Hammamet (Tunisia).
- Analysis and Control of (bi)linear PDEs, September 2022, Tor Vergata University of Rome (Italy).
- Analysis, Control and Inverse Problems for Diffusive Systems with Application to Natural and Social Sciences, July 2022, University of Bari (Italy).
- Journées Jeunes EDPistes, March 2022, Institut Camille Jordan, Lyon (France).
- Controllability of PDEs in physics models and applied sciences, February 2020, Rome (Italy).
- VIII Partial differential equations, optimal design and numerics, August 2019, Benasque (Spain).
- Identification and Control: Some challenges, June 2019, Monastir (Tunisia).
- GDR Dynqua Bordeaux, February 2019, Bordeaux (France).
- Workshop on PDE’s: Modelling & Theory, 2018, Monastir (Tunisia).
- Journées Jeunes EDPistes, March 2018, Nancy (France), poster exposition.
- Second School and Workshop: Mathematical Challenges in Quantum Mechanics, February 2018, Rome (Italy).
- Colloque INFINITI IHP, November 2017, Paris (France), poster exposition.
- EDP-Normandie, October 2017, Caen (France), poster exposition.
- Mathematical Control Theory, June 2017, Porquerolles (France).
- La journée DISQUO, December 2016, Inria Paris (France).
- Réunion du GT EDP May 2016, l’école des Mines à Paris (France).
Invited speaker to seminars:
- May 2024, CRAN, Université de Lorraine, Nancy (France).
- September 2023, New York University of Shanghai, Shanghai (China).
- March 2023 (control group workshop), Institut Élie Cartan de Lorraine, Nancy (France).
- February 2023 (control group workshop), Institut Élie Cartan de Lorraine, Nancy (France).
- January 2023 (control group workshop), Institut Élie Cartan de Lorraine, Nancy (France).
- January 2023, INRIA, Nancy (France).
- April 2022, University of Hagen (Germany).
- December 2021, research group “Mathematics in Cairo” (Egypt).
- Novembre 2021, Institut Élie Cartan de Lorraine, Nancy (France).
- October 2021, Laboratoire de Mathématiques de Toulouse (France).
- Avril 2021, Laboratoire de Mathématiques de Versailles (France).
- Avril 2021, Laboratoire de Mathématiques et leurs Applications de Valenciennes (France).
- March 2021, Gran Sasso Science Institute (Italy).
- January 2020, University of Monastir (Tunisia).
- December 2019, Laboratoire de Mathématiques de Toulouse (France).
- December 2019 (control group workshop), Laboratoire de Mathématiques de Toulouse (France).
- May 2019, Université Savoie Mont Blanc, Chambery (France).
- January 2019, University of Monastir (Tunisia).
- December 2017, Institut Fourier of Grenoble (France).
- November 2017, Institut Élie Cartan de Lorraine, Nancy (France).