SCIENTIFIC PUBLICATIONS

[2] M. FABRIZIO - C. GIORGI - A. MORRO, Solidification and separation in saline water, Quad. Sem. Mat. Brescia, 11/2013, submitted

[1] F. DELL'ORO - C. GIORGI, Global attractors for the coupled suspension bridge system with temperature, Quad. Sem. Mat. Brescia, 22/2014, submitted

[1] F. DELL'ORO, C. GIORGI - V. PATA, Asymptotic behavior of coupled linear systems modeling suspension bridges,
Z. Angew. Math. Phys., (2015) to appear.
DOI:10.1007/s00033-014-0414-9

[79] I. BOCHICCHIO - C. GIORGI – E. VUK, Well-posedness and longtime behaviour of a coupled nonlinear system  modeling a suspension bridge,
Meccanica, 50 (2015) 665–673.
DOI:10.1007/s11012-014-9996-8

[78] C. GIORGI, Phase-field models for transition phenomena in materials with hysteresis, Discrete Contin. Dyn. Syst. Ser. S, 8 (2015) 693-722.
DOI:10.3934/dcdss.2015.8.693

[77] A. BERTI - C. GIORGI – E. VUK, Hysteresis and temperature-induced transitions in ferromagnetic  materials, Appl. Math. Model. 39 (2015) 820-837.
DOI:10.1016/j.apm.2014.07.004

[76] A. BERTI - C. GIORGI – E. VUK, First-order phase transitions and hysteresis, Acta Appl. Math., 132 (2014) 73-82.
DOI:10.1007/s10440-014-9906-z

[75] I. BOCHICCHIO - C.GIORGI – E. VUK, Long-term dynamics of a viscoelatic suspension bridge, Meccanica, 49 (2014) 2139-2151.
DOI:10.1007/s11012-014-9887-z

[74] A. BERTI - C. GIORGI, A phase-field model for quasi-incompressible solid-liquid transitions, Meccanica, 49 (2014) 2087-2097.
DOI:10.1007/s11012-014-9909-x

[73] I. BOCHICCHIO - C. GIORGI – E. VUK, On the Viscoelastic Coupled Suspension Bridge, Evolution Equations and Control Theory, 3 (2014) 373-397.
DOI:10.3934/eect.2014.3.373

[72] A. BERTI - C. GIORGI - A. MORRO, Mathematical modeling of phase transition and separation in fluids: a unified approach, Discrete Contin. Dyn. Syst. Ser. B, 19 (2014) 1889-1909.
DOI:10.3934/dcdsb.2014.19.1889

[71] C. GIORGI -  D. GRANDI - V. PATA, On the Green-Naghdi type III heat conduction model, Discrete Contin. Dyn. Syst. Ser. B, 19 (2014)  2133-2143.
DOI:10.3934/dcdsb.2014.19.2133

[70] S. CARILLO, C. GIORGI, M. GRASSELLI, Special issue dedicated to Mauro Fabrizio's 70th birthday: Foreword, Discrete Contin. Dyn. Syst. Ser. B, 19 (2014) I-I.

[69]  M. FABRIZIO - C. GIORGI - A. MORRO,  Phase separation in compressible Cahn-Hilliard fluids, Discrete Contin. Dyn. Syst. Ser. B, 19 (2014) 73–88.
DOI:10.3934/dcdsb.2014.19.73

[68] C.GIORGI - E. VUK, Steady-state solutions for a suspension bridge with intermediate supports, Boundary Value Problems, 2013 (2013) 204.
DOI:10.1186/1687-2770-2013-204

[67] I. BOCHICCHIO - C.GIORGI – E. VUK, Asymptotic dynamics of nonlinear coupled suspension bridge equations, J. Math. Anal. Appl., 402 (2013) 319-333.
DOI:10.1016/j.jmaa.2013.01.036

[66] A. BERTI - C.GIORGI, Phase-field modeling of transition and separation phenomena in continuum thermodynamics, AAPP Physical, Mathematical, and Natural Sciences, 91(S1) (2013).
DOI:10.1478/AAPP.91S1A3 

[65] A. BERTI - C.GIORGI – E. VUK,  Free Energies and Pseudo-Elastic Transitions for Shape Memory Alloys, Discrete Contin. Dyn. Syst. Ser. S, 6 (2013) 293--316.
DOI:10.3934/dcdss.2013.6.293

[64] I. BOCHICCHIO - C.GIORGI – E. VUK,  Long-term dynamics of the coupled suspension bridge, Math. Models Methods Appl. Sci., 22 (2012) 1250021 (22 pages).
DOI: 10.1142/S0218202512500212

[63] M. FABRIZIO - C. GIORGI – A. MORRO,  Phase separation in quasi-incompressible Cahn-Hilliard fluids, Eur. J. Mech. B Fluids, 30 (2011) 281-287.
DOI: 10.1016/j.euromechflu.2010.12.003

[62] C.GIORGI - M.G. NASO, Modeling and steady states analysis of the extensible thermoelastic beam, Math. Comp. Modeling. 53 (2011) 896–908.
DOI: 10.1016/j.mcm.2010.10.026

[61] M. FABRIZIO - C. GIORGI – A. MORRO, Isotropic-nematic phase transition in liquid crystals, Discrete Contin. Dyn. Syst. Ser. S, 4 (2011) 565-579.
DOI: 10.3934/dcdss.2011.4.565

[60] M. FABRIZIO - C. GIORGI – V. PATA, A new approach to equations with memory, Arch. Rational Mech. Anal., 98 (2010) 189--232.
DOI: 10.1007/s00205-010-0300-3
.

[59] I. BOCHICCHIO - C.GIORGI – E. VUK, Longterm damped dynamics of the extensible suspension bridge, Int. J. Differ. Equ. , 2010 (2010), Article ID 383420, 19 pages.
DOI: 10.1155/2010/383420.

[58] A. BERTI - C.GIORGI – E. VUK,  Free energies in one-dimensional models of magnetic transitions with hysteresis, Nuovo Cimento Soc. Ital. Fis. B, 125 (2010) 371-394.
DOI:  10.1393/ncb/i2010-10891-5 

[57] M. COTI ZELATI - C. GIORGI - V. PATA, Steady states of the hinged extensible beam with external loads, Math. Models Methods Appl. Sci., 20 (2010) 43-58.
DOI: 10.1142/S0218202510004143

[56] C. GIORGI, Continuum thermodynamics and phase-field models, Milan J. Math., 77 (2009) 67-100.
DOI: 10.1007/s00032-009-0101-z

[55] I. BOCHICCHIO - C.GIORGI – E. VUK, Steady states analysis and exponential stability of an extensible thermoelastic system, Communications to SIMAI Congress, 3 (2009) 232.1-232.12.
DOI:10.1685/CSC09232

[54] A. BERTI - C. GIORGI, A phase-field model for liquid-vapor transitions, J. Non-Equilibrium Thermodyn., 34 (2009) 219-247.
DOI:10.1515/JNETDY.2009.012

[53] M. FABRIZIO - C. GIORGI - A. MORRO, Phase transition in ferromagnetism, Internat. J. Engrg. Sci., 47 (2009) 821-839.  
DOI:10.1016/j.ijengsci.2009.05.010

[52] V. BERTI - M. FABRIZIO - C.GIORGI, A three-dimensional phase transition model in ferro-magnetism: existence and uniqueness, J. Math. Anal. Appl., 355 (2009) 661-674.
DOI 10.1016/j.jmaa.2009.01.065

[51] C.GIORGI - M.G. NASO - V. PATA - M. POTOMKIN, Global attractors for the extensible thermoelastic beam system, J. Differential Equations, 246 (2009) 3496-3517.
DOI 10.1016/j.jde.2009.02.020

[50] V. BERTI - M. FABRIZIO - C.GIORGI, On a doubly nonlinear phase-field model for first-order transitions with memory, Differential and Integral Equations, 21 (2008) 325-350.

[49] C.GIORGI – V. PATA – E. VUK, On the extensible viscoelastic beam, Nonlinearity, 21 (2008) 713-733.
DOI: 10.1088/0951-7715/21/4/004

[48] M. FABRIZIO - C. GIORGI – A. MORRO, A continuum theory for first-order phase transitions based on the balance of structure order, Math. Methods Appl. Sci., 31 (2008) 627-653.
DOI: 10.1002/mma.930

[47] V. BERTI - M. FABRIZIO - C. GIORGI, Well-posedness for solid-liquid phase transitions with a fourth-order nonlinearity, Physica D, 236 (2007) 13-21.
DOI: 10.1016/j.physd.2007.07.009

[46] V. BERTI - M. FABRIZIO - C. GIORGI, Gauge-invariance and asymptotic behavior for the Ginzburg-Landau equations of superconductivity, J. Math. Anal. Appl., 329 (2007) 357-375

[45] C. GIORGI - F.M. VEGNI, The longtime behavior of a nonlinear Reissner-Mindlin plate with exponentially decreasing memory kernels, J. Math. Anal. Appl., 326 (2007) 754-771.

[44] M. FABRIZIO - C. GIORGI – A. MORRO, A thermodynamical approach to non-isothermal phase-field evolution in continuum physics, Physica D, 214 (2006) 144-156.

[43] M. FABRIZIO - C. GIORGI – A. MORRO, A non-isothermal phase-field approach to the second sound transition in solids, Il Nuovo Cimento, 121 B (2006) 383-399.

[42] C. GIORGI - M.G. NASO, Mathematical models of Reissner-Mindlin thermo-viscoelastic plates, J. Thermal Stresses, 29 (2006) 699-716.

[41] S. GATTI - C. GIORGI - V.PATA, Navier-Stokes limit of Jeffreys type flows, Physica D, 203 (2005) 55-79.

[40] C. GIORGI – M.G. NASO - V.PATA, Energy decay of electromagnetic systems with memory, Math. Models Methods Appl. Sci., 15 (2005) 1489-1502.

[39] M. FABRIZIO - C. GIORGI - M.G. NASO, Viscoelastic solids of exponential type. II. Free energies, stability and attractors, Meccanica, 39 (2004) 547-561.

[38] M. FABRIZIO - C. GIORGI - M.G. NASO, Viscoelastic solids of exponential type. I. Minimal representations and controllability of the state space, Meccanica, 39 (2004) 531-546.

[37] C. GIORGI - F.M. VEGNI, Uniform energy estimates for a semilinear evolution equation of the Mindlin-Timoshenko beam with memory, Math. Comp. Modeling, 39 (2004) 1005-1021. 

[36] C.GIORGI - J.MUNOZ RIVERA - V.PATA, Global attractors for a semi­linear hyperbolic equation in viscoelasticity, J. Math. Anal. Appl., 260 (2001) 83-99.

[35] C.GIORGI - M.GRASSELLI - V.PATA, Well-posedness and longtime behavior of the phase-field with memory in a history space setting, Quart. Appl. Math., 59 (2001) 701-736.

[34] C.GIORGI - M.G.NASO - E.VUK, Exponential stability in viscoelastic and elastic systems with thermal memory, Int. J. Differential Equations Appl., 2 (2001) 55-91.

[33] G.GENTILI - C.GIORGI, A new model for rate independ­ent hysteresis in permanent ma­gnets, Internat. J. Engrg. Sci., 39 (2001) 1057-1090. 

[32] C.GIORGI - M.G.NASO - V.PATA, Exponential stability in linear heat conduction with memory: a semigroup approach, Commun. Appl. Anal., 5 (2001) 121-134. 

[31] C.GIORGI - V.PATA, Asymptotic behavior of a nonlinear hyperbolic heat equation with memory, NoDEA Nonlinear Differential Equations Appl., 8 (2001) 157-171

[30] C.GIORGI - V.PATA, Stability of abstract linear thermoelastic systems with memory, Math. Models Methods Appl. Sci., 11 (2001) 627-644.

[29] C.GIORGI - M.G.NASO, Mathematical models of thin thermoviscoelastic plates, Quart. J. Mech. Appl. Math., 53 (2000) 363-374.

[28] C.GIORGI - A.MARZOCCHI - V.PATA, Uniform attractors for a non-autonomous semilinear heat equation with memory, Quart. Appl. Math., 58 (2000) 661-683

[27] C.GIORGI - M.G.NASO, Exponential stability of a linear viscoelastic bar with thermal memory, Ann. Mat. Pura Appl., (4) 178 (2000) 45-66.

[26] C.GIORGI - M.GRASSELLI - V.PATA, Uniform attractors for a phase-field model with memory and quadratic nonlinearity, Indiana Univ. Math. J., 48 (1999) 1395-1445.

[25] P.COLLI - G.GENTILI - C.GIORGI, Nonlinear systems describing phase transition models compatible with thermodynamics, Math. Models Methods Appl. Sci., 9 (1999) 1015-1037.

[24] C.GIORGI - E.VUK, Extremum principles in electromagnetic systems, Rend. Circ. Mat. Palermo (2), 48 (1999), 265-284.

[23] C.GIORGI - A.MARZOCCHI - V.PATA, Asymptotic behavior of a semilinear problem in heat conduction with memory, NoDEA Nonlinear Differential Equations Appl., 5 (1998) 333-354.

[22] C.GIORGI - B.LAZZARI, On the stability for linear viscoelastic solids, Quart. Appl. Math., 55 (1997) 659-675.

[21] M.FABRIZIO - C.GIORGI - A.MORRO, Internal dissipation, relaxation property, and free energy in materials with fading memory, J. Elasticity, 40 (1995) 107-122.

[20] M.FABRIZIO - C.GIORGI - A.MORRO, Free energies and dissipation properties for systems with memory, Arch. Rational Mech. Anal., 125 (1994) 341-373.

[19] G.GENTILI - C.GIORGI, Thermodynamic properties and stability for the heat flux equation with linear memory, Quart. Appl. Math., 51 (1993) 343-362.

[18] C.GIORGI - A.MARZOCCHI, A minimum principle for the quasi-static problem in linear viscoelasticity, Boll. Un. Mat. Ital., (7) 6-A (1992) 255-266.

[17] C.GIORGI - A.MORRO, Viscoelastic solids with unbounded relaxation function, Contin. Mech. Thermodyn., 4 (1992) 151-165.

[16] C.GIORGI - A.MARZOCCHI, New variational principles in quasi-static viscoelasticity, J. Elasticity, 29 (1992) 85-96.

[15] C.GIORGI - A.MORRO, Extremum principles for viscoelastic fluids, Internat. J. Engrg. Sci., 29 (1991) 807-817.

[14] M.FABRIZIO - C.GIORGI - A.MORRO, Minimum principles, convexity, and thermodynamics in viscoelasticity, Contin. Mech. Thermodyn., 1 (1989) 197-211.

[13] C.GIORGI - A.MARZOCCHI, Alcuni problemi di stabilità per un oscillatore elasto-plastico, Boll. Un. Mat. Ital., (7) 2-B (1988) 877-901.

[12] M.FABRIZIO - C.GIORGI, Sul primo principio della termodinamica per i materiali semplici, Rend. Circ. Mat. Palermo (2), 37 (1988) 351-368.

[11] M.FABRIZIO - C.GIORGI, Sulla termodinamica dei materiali semplici, Boll. Un. Mat. Ital., (6) 5-B (1986) 441-464.

[10] C.GIORGI, Sui potenziali elettromagnetici per alcuni modelli di isteresi magnetica, Ann. Mat. Pura Appl., (4) 143 (1986) 207-233.

[9] C.GIORGI, Sottopotenziali energia libera per l'isteresi meccanica, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat. (8), 78 (1985) 218-230.

[8] C.GIORGI, On the existence and uniqueness of solutions for problems in Kelvin-Voigt viscoelasticity, Riv. Mat. Univ. Parma, 11 (1985) 287-298.

[7] M.FABRIZIO - C.GIORGI, A non local phenomenological theory in Superconductivity, Riv. Mat. Univ. Parma, 10 (1984) 415-430

[6] M.FABRIZIO - C.GIORGI, La superconduttività come teoria non locale, Rend. Sem. Mat. Fis. Milano, 53 (1983) 195-206.

[5] C.GIORGI - B.LAZZARI, Sull'energia libera per un materiale elastoplastico in presenza di deformazioni finite isotermiche, Boll. Un. Mat. Ital. Suppl. Fisica Matematica, 2 (1983) 243-259.

[4] C.BANFI - C.GIORGI, Sul criterio dell'energia per la stabilità di un sistema termomeccanico, Ann. Mat. Pura Appl., (4) 129 (IV) (1981) 207-227.

[3] M.FABRIZIO - C.GIORGI, L'isteresi per un sistema elettromagnetico, Boll. Un. Mat. Ital. Suppl. Fisica Matematica, 1 (1981) 33-45.

[2] C.GIORGI - G.MATARAZZO, An existence theorem for a nonlinear evolution equation in viscoelasticity, Ann. Univ. Ferrara Sez.VII (N.S.), 26 (1980) 113-124.

[1] C.GIORGI, Un problema di esistenza ed unicità per un sistema linearizzato di Navier-Stokes a coefficienti non costanti, Ann. Univ. Ferrara Sez.VII (N.S.), 24 (1979) 37-50


BOOK CHAPTERS AND ITEMS IN ENCYCLOPEDIA


[3] C.GIORGI, Ordinary differential equations, in Encyclopedia of Thermal Stresses (R.B. Hetnarski ed.) Vol 1, pp 3556–3567. Springer Dordrecht, Heidelberg, New York, London, 2014. (ISBN 978-94-007-2738-0).
DOI: 10.1007/978-94-007-2739-7 28.

[2] C.GIORGI - M.G. NASO, Mathematical models of Reissner-Mindlin thermoviscoelastic plates, in Encyclopedia of Thermal Stresses (R.B. Hetnarski ed.) Vol 1, pp 2899-2907. Springer Dordrecht, Heidelberg, New York, London, 2014. (ISBN 978-94-007-2738-0).
DOI:10.1007/978-94-007-2739-7 912

[1] G.GENTILI - C.GIORGI, Mathematical models for phase transition in materials with thermal memory, in Dissipative Phase Transitions, P.Colli, N.Kenmochi, J.Sprekels eds., Ser. Adv. Math. Appl. Sci. 71, World Sci. Publishing, Singapore, 2005, pp.115-140. (ISBN 981-256-650-3)

PROCEEDINGS


[7] I. BOCHICCHIO – C. GIORGI – E. VUK, On some nonlinear models for suspension bridges, in Evolution Equations and Materials with Memory. Atti del Convegno, Roma (Italy), 12-14 luglio 2010, Eds. D. Andreucci, S. Carillo, M. Fabrizio, P. Loreti, and D. Sforza, Università La Sapienza Ed., Roma, 2012 (ISBN 978-88-95814-51-3).

[6] A. BERTI – C. GIORGI, A phase-field model for liquid-vapor transitions induced by temperature and pressure, in New Trends in Fluid and Solid Models. Proceedings of the International Conference in Honour of Brian Straughan, Vietri sul mare (Italy), 28 February - 1 March 2008, World Scientific Publishing, Singapore, 2010, pp. 69–80. (ISBN   981-4293-21-0)

[5] V. BERTI - M. FABRIZIO - C. GIORGI, Existence and uniqueness for a three dimensional model of ferromagnetism, in Applied and Industrial Mathematics in Italy III. Proceedings of the 9th Conference SIMAI,  Eds. E. De Bernardis, R. Spigler and V. Valente, Series on Advances in Mathematics for Applied Sciences, Vol. 82, World Scientific Publishing, Singapore, 2009, pp.75-86 (ISBN 981-4280-29-1)

[4] I. BOCHICCHIO – C. GIORGI – E. VUK, Steady states analysis and exponential stability of an extensible thermoelastic system,  Communications to SIMAI Congress, 3 (2009) 232.1-232.12 (ISSN 1827-9015)
DOI 10.1685/CSC09232

[3] C.GIORGI - V.PATA – E.VUK, Global attractor for an extensible viscoelastic beam, in AIMETA 2007 - XVIII Congresso Associazione Italiana di Meccanica Teorica e Applicata (Brescia, 11-14 settembre 2007) A.Carini, G.Mimmi and R.Piva eds., Starrylink Editrice, Brescia, 2007, GE3-3 p.358. (ISBN 978-88-89720-69-1)

[2] C.GIORGI - A.MARZOCCHI, Extremum principles for the quasi-static problem in linear viscoelasticity, in Thermodynamics and Kinetic Theory (Madralin, 1990), 49-57, Ser. Adv. Math. Appl. Sci., 12, World Sci. Publishing, River Edge, NJ, 1992. (ISBN 981-02-0930-4)

[1] C.GIORGI - B.LAZZARI, Uniqueness and stability in linear viscoelasticity: some counterexamples, in Waves and Stability in Continuous Media (Sorrento, 1986), 146-153, Ser. Adv. Math. Appl. Sci., 4, World Sci. Publishing, River Edge, NJ, 1991.  (ISBN 981-02-0554-6)


OTHER PUBLICATIONS (in italian)

SCIENTIFIC LECTURES


EDUCATIONAL LECTURES (in italian)


[10] "Mettere in mostra la cultura scientifica", Convegno "Umanesimo matematico a Urbino nel Rinascimento", Urbino, 21 novembre 2014 (conferenza).

[9] "Competenze tecniche e conoscenze fisico-matematiche nella storia dei veicoli a due ruote", Convegno Piano Lauree Scientifiche: Matematica e Statistica - PLS, Salerno, 17 aprile 2013 (conferenza).

[8] I domini dell’indagine matematica”, Corso residenziale estivo 'ACCADEMIA: Formazione interdisciplinare in Matematica, Scrittura,
Storia, Dante'. Milano, 15 luglio 2011
(conferenza).

[7] Le ragioni del fare matematico”, Corso residenziale estivo 'ACCADEMIA: Formazione interdisciplinare in Matematica, Scrittura,
Storia, Dante'. Milano, 15 luglio 2011 (conferenza).

[6] “...mirabili teoremi, stringenti dimostrazioni, formidabili applicazioni...”, Convegno 'Il linguaggio del libro della natura. La dimensione matematica dei fenomeni naturali', ScienzAfirenze (Diesse), Firenze, 14 aprile 2011 (conferenza).

[5] Inaugurazione della mostra “Da Uno a Infinito”, Sala del Consiglio Comunale, Pesaro, 21 febbraio 2011 (conferenza).

[4] “L’infinito in Matematica: concetto ragionevole o paradossale?”, Meeting per l’amicizia tra i popoli, Rimini, 23 agosto 2010 (seminario a latere della mostra ‘Da Uno a Infinito’).

[3] L’insegnante argomentativo”, Convegno Argomentare, nel l’apprendere e nel l’insegnare (Diesse), Piacenza, 14-15 maggio 2010 (conferenza).

[2] Inaugurazione della mostra “Sicuramente probabile”, Università di Chieti, Pescara, 13 maggio 2009 (conferenza).

[1] Avventure giroscopiche: ruote, trottole e pietre celtiche”, Olimpiadi di Matematica (U.M.I.), Cesenatico (FC), 7-10 maggio 2009 (conferenza).