Alessandro Duca

ISFP researcher (Associate Professor)
100 %
Libre accès
23
Documents
Affiliations actuelles
  • Systems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization (SPHINX)
  • Institut Élie Cartan de Lorraine (IECL)
Contact

Présentation

  • 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).

Domaines de recherche

Equations aux dérivées partielles [math.AP] Physique mathématique [math-ph] Systèmes dynamiques [math.DS] Optimisation et contrôle [math.OC] Théorie spectrale [math.SP]

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Publications

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Networks of sign-changing metamaterials: existence and spectral properties

Kaïs Ammari , Alessandro Duca , Eric Bonnetier

Communications in Mathematical Sciences, 2025, ⟨10.48550/arXiv.2407.06661⟩

Article dans une revue hal-04639514v2
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On the small-time bilinear control of a nonlinear heat equation: global approximate controllability and exact controllability to trajectories

Alessandro Duca , Eugenio Pozzoli , Cristina Urbani

Journal de Mathématiques Pures et Appliquées, 2025, 203, pp.103758. ⟨10.1016/j.matpur.2025.103758⟩

Article dans une revue hal-04647802v2
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Bilinear control and growth of Sobolev norms for the nonlinear Schrödinger equation

Alessandro Duca , Vahagn Nersesyan

Journal of the European Mathematical Society, 2025, ⟨10.4171/JEMS/1420⟩

Article dans une revue hal-03128548v1
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Local exact controllability of the 1D nonlinear Schrödinger equation in the case of Dirichlet boundary conditions

Alessandro Duca , Vahagn Nersesyan

SIAM Journal on Control and Optimization, 2025

Article dans une revue hal-03579006v1
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Small-time controllability for the nonlinear Schrödinger equation on $\mathbb{R}^N$ via bilinear electromagnetic fields

Alessandro Duca , Eugenio Pozzoli

SIAM Journal on Control and Optimization, 2025, ⟨10.1137/23M1590305⟩

Article dans une revue hal-04624316v1
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Achieving energy permutation of modes in the Schrödinger equation with moving Dirac potentials

Carlos Castro , Alessandro Duca

Mathematical Control and Related Fields, 2024, 14 (1), pp.166-190. ⟨10.3934/mcrf.2022060⟩

Article dans une revue hal-03280399v1
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Control of the Schrödinger equation by slow deformations of the domain

Alessandro Duca , Romain Joly , Dmitry Turaev

Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2024, 41 (3), pp.511-553. ⟨10.4171/AIHPC/86⟩

Article dans une revue hal-03592688v1
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EXACT CONTROLLABILITY TO EIGENSOLUTIONS OF THE BILINEAR HEAT EQUATION ON COMPACT NETWORKS

Piermarco Cannarsa , Alessandro Duca , Cristina Urbani

Discrete and Continuous Dynamical Systems - Series S, 2022, 15 (5), pp.1377-1401. ⟨10.3934/dcdss.2022011⟩

Article dans une revue hal-03772581v1
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Controllability of bilinear quantum systems in explicit times via explicit control fields

Alessandro Duca

International Journal of Control, 2021, 94 (3), pp.724-734. ⟨10.1080/00207179.2019.1616224⟩

Article dans une revue hal-01520173v5
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Schrödinger equation in moving domains

Alessandro Duca , Romain Joly

Annales Henri Poincaré, 2021, 22 (6), pp.2029-2063. ⟨10.1007/s00023-021-01020-9⟩

Article dans une revue hal-02736016v3
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Bilinear quantum systems on compact graphs: well-posedness and global exact controllability

Alessandro Duca Article dans une revue hal-01830297v5
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Well-posedness and exponential decay for the Euler–Bernoulli beam conveying fluid equation with non-constant velocity and dynamical boundary conditions

Akram Ben Aissa , Mama Abdelli , Alessandro Duca

Zeitschrift für Angewandte Mathematik und Physik = Journal of Applied mathematics and physics = Journal de mathématiques et de physique appliquées, 2021, 72, pp.49. ⟨10.1007/s00033-021-01484-z⟩

Article dans une revue hal-02570702v2
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CONTROLLABILITY OF PERIODIC BILINEAR QUANTUM SYSTEMS ON INFINITE GRAPHS

Kaïs Ammari , Alessandro Duca

Journal of Mathematical Physics, 2020, 61 (10), ⟨10.1063/5.0010579⟩

Article dans une revue hal-02169344v2
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Permuting quantum eigenmodes by a quasi-adiabatic motion of a potential wall

Alessandro Duca , Romain Joly , Dmitry Turaev

Journal of Mathematical Physics, 2020, 61 (10), ⟨10.1063/5.0005399⟩

Article dans une revue hal-02414236v1
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Simultaneous global exact controllability in projection of infinite 1D bilinear Schrödinger equations

Alessandro Duca

Dynamics of Partial Differential Equations, 2020, 17 (3), pp.275-306. ⟨10.4310/DPDE.2020.v17.n3.a4⟩

Article dans une revue hal-01481873v5
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Global exact controllability of bilinear quantum systems on compact graphs and energetic controllability

Alessandro Duca

SIAM Journal on Control and Optimization, 2020, ⟨10.1137/18m1212768⟩

Article dans une revue hal-01875685v4
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Controllability of Localized Quantum States on Infinite Graphs through Bilinear Control Fields

Kaïs Ammari , Alessandro Duca

International Journal of Control, 2019, 94 (7), pp.1824-1837. ⟨10.1080/00207179.2019.1680868⟩

Article dans une revue hal-02164419v2
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Analysis of the controllability of bilinear closed quantum systems

Alessandro Duca

Analysis of PDEs [math.AP]. Université Bourgogne Franche-Comté; Ecole polytechnique. Turin (Italie), 2018. English. ⟨NNT : 2018UBFCD004⟩

Thèse tel-01830104v1