Francesca BUCCI

Ruolo attuale:: Professore Associato
SSD:: MATH-03/A - Analisi matematica
Afferenza organizzativa:: Dipartimento di Matematica e Informatica 'Ulisse Dini'

Recapiti

	0552758927
	francesca.bucci(AT)unifi.it

Ulteriori Recapiti

	Campus Morgagni Edificio E1 - V.le Morgagni 65, stanza 058 (trasloco in fieri da S. Marta, st. 113)
	tel. in via di installazione (tel. sede S. Marta: (+39) 055-275-8927)
	http://www.dma.unifi.it/~fbucci/

Francesca BUCCI

Orario di ricevimento (aggiornato al 02/10/2024)

A.A. 2024/2025, I Semestre (16 sett.-13 dic. 2024)

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Ricevimento: Dedicato primariamente alle coorti del 2^ anno dei Corsi di Studio in Ing. Ambientale (IAL) e Ing. Civile ed Edile per la Sostenibilità (ICE):

- di norma il martedì in orario 16:00-17:30 presso il Centro Didattico Morgagni, aula 014;

- possibili manifestazioni di interesse (di persona, o per e-mail o anche per telefono, quando sarà installato nell'uffico in cui sto traslocando) per altri spazi di ricevimento, ad es. il ven. h 8:30-9:15 nella sede della Scuola in Via S. Marta, aula 045.

Si raccomanda di controllare sempre gli annunci tramite la piattaforma Moodle e quelli in questo spazio

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Avvisi importanti (su questioni correnti e su periodi di assenza per motivi di servizio o ferie):

(nessun annuncio)

Francesca BUCCI

Curriculum

BucciFrancesca-CVbreve (aggiornato all'11 nov. 2024)

Francesca BUCCI

Interessi

Tema (generale) delle ricerche: Analisi e Controllo di Equazioni a Derivate Parziali

Piu' specificamente:
    i) problemi al contorno e ai valori iniziali per Equazioni a Derivate Parziali (EDP) di evoluzione, e per sistemi interconnessi di EDP (quali, ad esempio, sistemi termoelastici, modelli che descrivono interazioni tra onde acustiche e strutture elastiche, o interazioni fluido-solido): buona positura, regolarita' interna e al bordo delle soluzioni relative;
   ii) problemi di controllo ottimale con funzionali quadratici per EDP lineari, con controllo sulla frontiera o puntuale; equazioni di Riccati differenziali e algebriche;
   iii) comportamento asintotico, per tempi lunghi, di soluzioni di EDP lineari e non lineari:
iiia) proprieta' di stabilita'/stabilizzabilita' (con metodi dell'energia, o con analisi nel dominio delle frequenze),
iiib) esistenza di attrattori globali e loro proprieta' (dimensione frattale, regolarita', ecc.)
   iv) il problema del regolatore quadratico "non-standard"

Francesca BUCCI

Pubblicazioni

Legenda

Contributo su rivista |

Articolo su libro |

Libro |

Contributo in atti di convegno (proceeding) |

Brevetto |

Curatela | Altro

Altro |

Tesi di Dottorato

Paolo Acquistapace; Francesca Bucci (2024). Optimal synthesis control for evolution equations subject to nonlocal inputs (arXiv e-Print). pp. 1-27 Accesso ONLINE all'editore

Francesca Bucci; Matthias Eller (2024). An optimal control problem for Maxwell's equations (arXiv e-Print). pp. 1-22 Accesso ONLINE all'editore

Acquistapace Paolo; Bucci Francesca (2024). Riccati-based solution to the optimal control of linear evolution equations with finite memory. EVOLUTION EQUATIONS AND CONTROL THEORY, vol. 13 (Early access: July 2023), pp. 26-66, ISSN:2163-2480 DOI Accesso ONLINE all'editore

Acquistapace P.; Bucci F. (2023). Uniqueness for Riccati equations with application to the optimal boundary control of composite systems of evolutionary partial differential equations. ANNALI DI MATEMATICA PURA ED APPLICATA, vol. 202, pp. 1611-1642, ISSN:0373-3114 DOI Accesso ONLINE all'editore

Paolo Acquistapace; Francesca Bucci (2022). On the infinitesimal generator of an optimal state semigroup. SEMIGROUP FORUM, vol. 105, pp. 46-72, ISSN:0037-1912 DOI Accesso ONLINE all'editore

Bucci Francesca (2022). Improved boundary regularity for a Stokes-Lamé system. EVOLUTION EQUATIONS AND CONTROL THEORY, vol. 11 (Early access: April 2021), pp. 325-346, ISSN:2163-2480 DOI Accesso ONLINE all'editore

Francesca Bucci; Matthias Eller (2021). The Cauchy-Dirichlet problem for the Moore-Gibson-Thompson equation. COMPTES RENDUS. MATHÉMATIQUE, vol. 359, pp. 881-903, ISSN:1778-3569 DOI Accesso ONLINE all'editore

Paolo Acquistapace; Francesca Bucci (2021). Uniqueness for Riccati equations with unbounded operator coefficients (arXiv:2012.05670 [math.OC]). pp. 1-33 Accesso ONLINE all'editore

Bucci Francesca; Pandolfi Luciano (2020). On the regularity of solutions to the Moore-Gibson-Thompson equation: a perspective via wave equations with memory. JOURNAL OF EVOLUTION EQUATIONS, vol. 20 (Early access: November 2019), pp. 837-867, ISSN:1424-3199 DOI Accesso ONLINE all'editore

Francesca Bucci; Irena Lasiecka (2019). Feedback control of the acoustic pressure in ultrasonic wave propagation. OPTIMIZATION, vol. 68 (Early access: August 2018), pp. 1811-1854, ISSN:0233-1934 DOI Accesso ONLINE all'editore

Francesca Bucci; Luciano Pandolfi (2017). On the regularity of solutions to the Moore-Gibson-Thompson equation: a perspective via wave equations with memory, arXiv e-Print (subject to endorsement) arXiv:1712.09930 [math.AP]. pp. 1-26 Accesso ONLINE all'editore

Avalos, George; Bucci, Francesca (2015). Rational rates of uniform decay for strong solutions to a fluid-structure PDE system. JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 258, pp. 4398-4423, ISSN:0022-0396 DOI Accesso ONLINE all'editore

Avalos, George; Bucci, Francesca (2014). Exponential decay properties of a mathematical model for a certain fluid-structure interaction. In: Favini Angelo, Fragnelli Genni, Mininni Rosa Maria (Eds.). New Prospects in Direct, Inverse and Control Problems for Evolution Equations, pp. 49-78 Springer International Publishing, Springer INdAM Series, Vol. 10, 2014, ISBN:9783319114064. DOI Accesso ONLINE all'editore

Acquistapace, Paolo; Bucci, Francesca; Lasiecka, Irena (2013). A theory of the infinite horizon LQ-problem for composite systems of PDEs with boundary control. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, vol. 45, pp. 1825-1870, ISSN:0036-1410 DOI Accesso ONLINE all'editore

Bucci, Francesca; Lasiecka, Irena (2011). Regularity of boundary traces for a fluid-solid interaction model. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S, vol. 4, pp. 505-521, ISSN:1937-1632 DOI Accesso ONLINE all'editore

Bucci, Francesca; Lasiecka, Irena (2011). Selected papers, in: Modern Aspects of the Theory of Partial Differential Equations, M. Ruzhansky, J. Wirth (Eds); Operator Theory: Advances and Applications, Vol. 216, 367 pp.. Birkhauser Basel, 978-3-0348-0068-6. Accesso ONLINE all'editore

Bucci, Francesca; Lasiecka, Irena (2010). Optimal boundary control with critical penalization for a PDE model of fluid-solid interactions. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, vol. 37, pp. 217-235, ISSN:0944-2669 DOI Accesso ONLINE all'editore

F. Bucci; I. Lasiecka (2010). Control and Optimisation of Nonlinear Evolutionary Systems. In: 7th International ISAAC Congress, Imperial College London, UK, 13-18 July 2009, World Scientific Publishing Co., pp. 355-356, ISBN:9789814313162 DOI Accesso ONLINE all'editore

Bucci, Francesca; Toundykov, Daniel (2010). Finite dimensional attractor for a composite system of wave/plate equations with localised damping. NONLINEARITY, vol. 23, pp. 2271-2306, ISSN:0951-7715 DOI Accesso ONLINE all'editore

Bucci, Francesca; Chueshov, Igor (2008). Long-time dynamics of a coupled system of nonlinear wave and thermoelastic plate equations. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, vol. 22, pp. 557-586, ISSN:1078-0947 DOI Accesso ONLINE all'editore

Bucci, Francesca (2008). Control-theoretic properties of structural acoustic models with thermal effects, II. Trace regularity results. APPLICATIONES MATHEMATICAE, vol. 35, pp. 305-321, ISSN:1233-7234 DOI Accesso ONLINE all'editore

Bucci, Francesca (2007). Control-theoretic properties of structural acoustic models with thermal effects, I. Singular estimates. JOURNAL OF EVOLUTION EQUATIONS, vol. 7, pp. 387-414, ISSN:1424-3199 DOI Accesso ONLINE all'editore

Bucci, Francesca; Chueshov, Igor; Lasiecka, Irena (2007). Global attractor for a composite system of nonlinear wave and plate equations. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, vol. 6, pp. 113-140, ISSN:1534-0392 DOI Accesso ONLINE all'editore

Acquistapace, Paolo; Bucci, Francesca; Lasiecka, Irena (2005). A trace regularity result for thermoelastic equations with application to optimal boundary control. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol. 310, pp. 262-277, ISSN:0022-247X DOI Accesso ONLINE all'editore

Acquistapace, Paolo; Bucci, Francesca; Lasiecka, Irena (2005). Optimal boundary control and Riccati theory for abstract dynamics motivated by hybrid systems of PDEs. ADVANCES IN DIFFERENTIAL EQUATIONS, vol. 10, pp. 1389-1436, ISSN:1079-9389 Accesso ONLINE all'editore

Bucci, Francesca; Lasiecka, Irena (2004). Singular estimates and Riccati theory for thermoelastic plate models with boundary thermal control. DYNAMICS OF CONTINUOUS, DISCRETE AND IMPULSIVE SYSTEMS. SERIES A: MATHEMATICAL ANALYSIS, vol. 11, pp. 545-568, ISSN:1201-3390 Accesso ONLINE all'editore

F. Bucci (2003). Uniform decay rates of solutions to a system of coupled PDEs with nonlinear internal dissipation. DIFFERENTIAL AND INTEGRAL EQUATIONS, vol. 16, pp. 865-896, ISSN:0893-4983 Accesso ONLINE all'editore

F. Bucci (2003). Uniform stability of a coupled system of hyperbolic/parabolic PDEs with internal dissipation. In: V. Barbu, I. Lasiecka, D. Tiba, C. Varsan (Editors). Analysis and Optimization of Differential Systems, pp. 57-68, Boston/Dordrecht/London: Kluwer Academic Publishers, ISBN:9781402074394.

F. Bucci; I. Lasiecka (2002). Exponential decay rates for structural acoustic model with an overdamping on the interface and boundary layer dissipation. APPLICABLE ANALYSIS, vol. 81, pp. 977-999, ISSN:0003-6811 Accesso ONLINE all'editore

Francesca Bucci; Irena Lasiecka; Roberto Triggiani (2002). Singular estimates and uniform stability of coupled systems of hyperbolic/parabolic PDEs. ABSTRACT AND APPLIED ANALYSIS, vol. 7, pp. 169-237, ISSN:1085-3375 DOI Accesso ONLINE all'editore

F. Bucci (2000). Frequency domain stability of nonlinear feedback systems with unbounded input operator. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS, vol. 7, pp. 351-368, ISSN:1201-3390 Accesso ONLINE all'editore

Francesca Bucci; Luciano Pandolfi (2000). The regulator problem with indefinite quadratic cost for boundary control systems: the finite horizon case. SYSTEMS & CONTROL LETTERS, vol. 39, pp. 79-86, ISSN:0167-6911 Accesso ONLINE all'editore

F. Bucci (1999). Stability of holomorphic semigroup systems under nonlinear boundary perturbations. In: K.-H. Hoffman, G. Leugering, F. Troeltzsch (Editors). Optimal Control of Partial Differential Equations, pp. 63-76, Basel: Birkhauser (International Series of Numerical Mathematics, Vol. 133), ISBN:9783764361518. Accesso ONLINE all'editore

F. Bucci (1998). The non-standard LQR problem for boundary control systems. RENDICONTI DEL SEMINARIO MATEMATICO, vol. 56, pp. 105-114, ISSN:0373-1243 Accesso ONLINE all'editore

Francesca Bucci; Luciano Pandolfi (1998). The value function of the singular quadratic regulator problem with distributed control action. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, vol. 36, pp. 115-136, ISSN:0363-0129 DOI Accesso ONLINE all'editore

F. Bucci (1998). Absolute stability of feedback systems in Hilbert spaces. In: W.W. Hager, P.M. Pardalos (Editors). Optimal Control: Theory, Algorithms, and Applications, pp. 24-39, Dordrecht/Boston/London: Kluwer Academic Publishers. DOI Accesso ONLINE all'editore

F. Bucci (1997). A remark on regularization of the wave equation with boundary input. In: G. Da Prato, J.P. Zolesio (Editori). Partial Differential Equation Methods in Control and Shape Analysis, pp. 53-62, New York: Marcel Dekker, Inc., ISBN:9780824798376.

F. Bucci (1996). Finite horizon regulator problem: the non-standard case. In: K. Malanowski, Z. Nahorski, M. Peszynska (Editori). Modelling and Optimization of Distributed Parameter Systems, pp. 131-138, London: Chapman & Hall, ISBN:9780412727009.

F. Bucci (1996). Singular perturbation for controlled wave equations. JOURNAL OF MATHEMATICAL SYSTEMS, ESTIMATION, AND CONTROL, vol. 6, pp. 135-149, ISSN:1052-0600 Accesso ONLINE all'editore

F. Bucci (1994). A hyperbolic problem with boundary control: a solution through parabolic regularization. In: Da Prato, L. Tubaro (Editori). Control of Partial Differential Equations, pp. 23-35, New York: Marcel Dekker, Inc., ISBN:9780824792404.

F. Bucci (1994). Regularization and approximation of the wave equation with boundary input: an abstract approach. DYNAMIC SYSTEMS AND APPLICATIONS, vol. 3, pp. 453-464, ISSN:1056-2176

F. Bucci (1992). A Dirichlet boundary control problem for the strongly damped wave equation. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, vol. 30, pp. 1092-1100, ISSN:0363-0129 Accesso ONLINE all'editore

F. Bucci; G. Villari (1990). Phase portrait of the system x'=y, y'=F(x,y). BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. B, vol. 4-B, pp. 265-274, ISSN:0392-4041 Accesso ONLINE all'editore

F. Bucci (1990). A boundary control problem with infinite horizon for the strongly damped wave equation. pp. 1-11

F. Bucci (1989). On the existence of periodic solutions for the generalized Lienard equation. BOLLETTINO DELL'UNIONE MATEMATICA ITALIANA. B, vol. 3-B, pp. 155-168, ISSN:0392-4041 Accesso ONLINE all'editore

Francesca BUCCI

Curriculum

BucciFrancesca-CVshort (updated Nov. 11, 2024)

Francesca BUCCI

Interest

General subject: Analysis and control of evolutionary Partial Differential Equations

More specifically:

Mathematical analysis of initial/boundary value problems for evolutionary Partial Differential Equations (PDE), particularly for systems of coupled hyperbolic/parabolic PDE, such as thermoelastic systems, models for acoustic-structure or fluid-structure interactions: well-posedness, interior/boundary regularity of the corresponding solutions;
Optimal control problems with quadratic functionals for (linear) evolutionary PDE and composite systems of PDE, with boundary/interface control; differential and algebraic (operator) Riccati equations;
Long-time behaviour of solutions to linear and nonlinear PDEs:
- uniform stability (or stabilizability), decay rates − via energy methods and frequency domain techniques;
- existence of global attractors, along with their structure (fractal dimension, regularity, etc.);
The LQ-problem with non coercive cost functionals