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Biografia

Since October 2023, Cristina Urbani has been a tenure-track researcher at Universitas Mercatorum. After earning a bachelor's degree in Mathematics and a master's degree in Pure and Applied Mathematics, awarded with a score of 110/110 cum laude at the University of Rome “Tor Vergata,” she defended her PhD thesis in Mathematics in Natural, Social, and Life Sciences in May 2020 as part of a joint PhD program at Gran Sasso Science Institute (Italy) and Sorbonne Université (France). Subsequently, she was a postdoctoral researcher at the University of Rome “Tor Vergata” (2020–2022) and a postdoctoral researcher at the Accademia Nazionale dei Lincei (2022–2023).

Facoltà

Scienze Tecnologiche e dell'Innovazione

Materia d'insegnamento

  • Analisi Matematica e Geometria - L41
  • Analisi Matematica I e Fondamenti di Geometria - L7
  • Analisi Matematica I e Geometria - L8
  • Analisi Matematica I - L9
  • Analisi Matematica II - L7
  • Analisi Matematica II - L9

Dipartimento

Ingegneria e scienze

Ricevimento

Su appuntamento concordato via mail

Modalità di prenotazione degli uffici

Online

Pubblicazioni

  • 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”, accepted for publication in Jounal de Mathématique Pures et Appliquées (2025)
  • F. Alabau-Boussouira, P. Cannarsa, C. Urbani “Bilinear control of evolution equations with unbounded lower order terms. Application to the Fokker-Planck equation”, Comptes Rendus Mathématiques, vol. 362, pp. 511-545 (2024), doi: 10.5802/crmath.567
  • P. Cannarsa, V. Lucarini, P. Martinez, C. Urbani, J. Vancostenoble “Analysis of a two-layer energy balance model: long time behaviour and greenhouse effect”, CHAOS, vol. 33, pp. 113111 (2023), https://doi.org/10.1063/5.0136673 (awarded as Featured paper)
  • P. Cannarsa, P. Martinez, C. Urbani “Bilinear control of a degenerate hyperbolic equation”, SIAM J. of Mathematical Analysis, vol. 55, n. 6, pp. 6517 - 6553 (2023), https://doi.org/10.1137/22M148745X
  • P. Cannarsa, A. Duca, C. Urbani “Exact controllability to eigensolutions of the bilinear heat equation on compact networks”, Discrete and Continuous Dynamical Systems - Series S, vol. 15, No. 6, pp. 1377-1401 (2022), doi:10.3934/dcdss.2022011
  • F. Alabau-Boussouira, P. Cannarsa, C. Urbani “Exact controllability to eigensolutions for evolution equations of parabolic type via bilinear control”, Nonlinear Differ. Equ. Appl., vol. 29, pp. 38 (2022). https://doi.org/10.1007/s00030-022-00770-7
  • F. Alabau-Boussouira, P. Cannarsa, C. Urbani “Superexponential stabilizability of evolution equations of parabolic type via bilinear control”, Journal of Evolution Equations, vol. 21, pp. 941--967 Springer (2021)
  • P. Cannarsa, C. Urbani “Superexponential stabilizability of degenerate parabolic equations via bilinear control”, Inverse Problems and Related Topics, vol. 310, pp. 31--45, Springer Singapore (2020)
  • C. Urbani, Bilinear control of evolution equations, PhD Thesis, http://hdl.handle.net/20.500.12571/10061
Vai alle pubblicazioni

Società scientifiche

  • UMI - Unione Matematica Italia
  • CliMath - Gruppo UMI  “Modellistica matematica per lo studio del clima, del cambiamento climatico, e dei suoi impatti”
  • INdAM - Istituto Nazionale di Alta Matematica
  • GNAMPA - Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni
  • EWM - European Women in Mathematics
  • SIAM - Society for Industrial and Applied Mathematics

Convegni Scientifici

  • 2024 Invited speaker at "Mathematics and Decision Conference", 2nd ed., Rabat (MA). Minisymposium: “Recent Breakthroughs in Optimization and Identification”
  • 2024 Seminar at LUISS, Rome (IT)
  • 2024 Invited speaker at ICMAM Latin America 2024 (online)
  • 2024 Invited speaker at “New Trends in Quantum Control”, Université de Côte d'Azur (FR)
  • 2024 Invited speaker at AMASES 2024, special session “Mathematical Models for the Green Energy Transition and Sustainable Development”, Ischia (IT)
  • 2024 Invited speaker at XLIV Dynamics Days Europe, Minisymposium “Stability, long term behaviour, and data assimilation in infinite dimensional stochastic systems for weather, climate, and ocean”, Bremen (DE)
  • 2024 Invited speaker at 9th European Congress in Mathematics, Special Session: “Women in Control”, Seville (ES)
  • 2024 Invited speaker at the Kick-Off meeting of PRIN project "Some Mathematical Approaches to Climate Change and its Impacts" SNS, Pisa (IT)
  • 2024 Invited speaker at Contrôle et stabilisation d’équations aux dérivées partielles, Institut Élie Cartan de Lorraine (FR)
  • 2024 Seminar at Université de Toulouse Paul Sabatier (FR)
  • 2023 Invited speaker at ICIAM 23, Tokyo (JP). Minisymposium: “Interplay between controllability and qualitative aspects of stochastic dynamical systems”
  • 2023 Invited speaker at SIAM CT23, Philadelphia (USA). Minisymposium: “Control, Stability and its applications”
  • 2022 Invited speaker at Analysis and Control of (bi)linear PDEs, Rome (IT)
  • 2022 Invited speaker at ACIPDif22, Bari (IT)
  • 2022 Poster at Theoretical and numerical trends in inverse problems and control for PDE’s, and Hamilton-Jacobi equation: French-Italian-Japanese conference, Marseille (FR)
  • 2022 Contributed speaker at 100 UMI - 800 UniPd, Padua (IT)
  • 2021 Poster at SIAM Annual Meeting 2021, Spokane, Washington (USA), online
  • 2021 Invited speaker at INdAM Workshop: Analysis and Numerics of Design, Control and Inverse Problem, Rome (IT)
  • 2021 Invited speaker at LSSC 2021, Sozopol (BG), online seminar
  • 2020 Invited speaker at Control in Time of Crisis, online seminar
  • 2020 Invited speaker at Controllability of PDEs in Physics Models and Applied Sciences, University of Rome Tor Vergata (IT)
  • 2019 Invited speaker at VIII Partial differential equation, optimal design and numerics, Benasque (ES). Minisymposium: “Theoretical results on parabolic control theory”
  • 2019 Contributed speaker at INDAM intensive period: Shape optimization, control and inverse problems for PDEs, Naples (IT)
  • 2019 Invited speaker at Control Theory and Applications, L'Aquila (IT)
  • 2018 Invited speaker at LIA COPDESC workshop: Analysis, Control and Inverse Problems for PDEs, Naples (IT)
  • 2018 Contributed speaker at BIT Circus 2018, Helsinki (FI)
  • 2018 Invited speaker at SIMAI2018, Rome (IT). Minisymposium: “Control and Inverse Problems for Evolution Equations”
  • 2017 Contributed speaker at VII Partial differential equation, optima design and numerics, Benasque (ES). Minisymposium: “Bilinear and fractional control of partial differential equations”

Le Principali aree di ricerca in ambito accademico riguardano:

Cristina Urbani works on Control Theory of partial differential equations (PDEs). Recently she got interested in the application of (degenerate) PDEs for studying climate models.

RICERCA-ORCID

0000-0003-3355-7879

SSD

MATH-03/A

GSD

01/MATH-03 - ANALISI MATEMATICA, PROBABILITÀ E STA