Publications

Mathematical Physics Group

Selected Publications

  1. C. Giorgi, F. Zullo: Entropy Rates and Efficiency of Convecting-Radiating Fins, Energies, 2021, 14(6), 1643; https://doi.org/10.3390/en14061643

  2. I. Bochicchioa, M.G. Naso, E. Vuk, F. Zullo: Convecting-radiating fins: explicit solutions, efficiency and optimization, Applied Mathematical Modelling, V. 89, part 1, 2021, 171-187

  3. N. Bazarra, I. Bochicchio, J.R. Fernández, M.G. Naso, Analysis of a contact problem problem involving an elastic body with dual phase lag, Appl. Math. Optim., 83, pp. 939-977, 2021.

  4. C.Giorgi, A.Morro: A thermodynamic approach to hysteretic models in ferroelectrics, Math. Comput. Simulation, 176 (2020), 181-194. DOI:10.1016/j.matcom.2019.08.001

  5. A.Morro, C.Giorgi: Objective rate equations and memory properties in continuum physics, Math. Comput. Simulation, 176 (2020), 243-253. DOI:10.1016/j.matcom.2019.07.01

  6. I. Bochicchio, M. Campo, J.R. Fernández, M.G. Naso, Analysis of a thermoelastic Timoshenko beam model, Acta Mech 231, 4111–4127 (2020). https://doi.org/10.1007/s00707-020-02750-3

  7. F. Zullo: A Numerical Method to Estimate the Peak of New Infected and the SARSCoV-2 Outbreak in Italy, Organisms, Vol. 4, No. 2 (2020) ISSN: 2532-5876, DOI:10.13133/2532-5876/16990

  8. N. Bazarra, I. Bochicchio, E. Casarejos, J.R. Fernández, M.G. Naso, Analysis of a contact problem involving thermoelastic mixtures, J. Math. Anal. Appl., 479 (2019), no.2, 2032-2055.

  9. M. Campo, J.R. Fernández, M.G. Naso, A dynamic problem involving a coupled suspension bridge system: numerical analysis and computational experiments, Evol. Equ. Control Theory, 8 (2019), no.3, 489-502.

  10. J.E. Muñoz Rivera, M.G. Naso, Boundary stabilization of Bresse systems, Z. Angew. Math. Phys., 70 (2019), no. 2, Art. 56, 16 pp.

  11. M. Campo, J.R. Fernández, M.G. Naso, E. Vuk, Dynamics of nonlinear thermoelastic double-beam systems, Q. J. Mech. Appl. Math., 72 (2019), no.2, 235-259.

  12. Carillo, S., Zullo, F.: The Gross–Pitaevskii equation: Bäcklund transformations and admitted solutions. Ricerche mat 68, 503–512 (2019). https://doi.org/10.1007/s11587-018-0422-8

  13. M.Fabrizio, C.Giorgi, A.Morro: Two approaches to aging and fatigue models in viscoelastic solids, Atti Accad. Peloritana Pericolanti Cl. Sci. Fis. Mat. Natur., 97 (2019) A7. DOI: 10.1478/AAPP.97S1A7

  14. M.G. Naso, E. Vuk, F. Zullo, On the optimization of heat rectification in graded materials, Int. J. Heat Mass Transf., 143 (2019), Art. 118520.

  15. Sciubba E., Zullo F.: A general model for the evolution of non-equilibrium systems, Energy, 2019, https://doi.org/10.1016/j.energy.2019.05.178.

  16. Zullo F.: On the dynamics of the zeros of solutions of the Airy equation, Mathematics and Computers in Simulation, 2019, DOI: 10.1016/j.matcom.2019.07.002

  17. Zullo F.: On the solutions of the Airy equation and their zeros, Complex Differential and Difference Equations, in De Gruyter Proceedings in Mathematics, 2019

  18. E. Sciubba, F. Zullo: On the quantification of non-equilibrium exergy for thermodynamic systems evolving according to Cattaneo’s equation, International Journal of Thermodynamics, 22 (1), 19-24, 2019, DOI: 10.5541/ijot.515606

  19. M. Conti, V. Danese, C. Giorgi, V. Pata, A model of viscoelasticity with time-dependent memory kernels, Amer. J. Math., 140 (2018) 349–389.

  20. C. Giorgi, D. Guidetti, Reconstruction of kernel depending also on space variable, Math. Methods Appl. Sci., 41 (2018) 4560–4588.

  21. I. Bochicchio, C. Giorgi, E. Vuk, Steady states and buckling of cable-suspended beam systems, Meccanica, 53 (2018), 3365-3381.

  22. A. Magaña, J.E. Muñoz Rivera, M.G. Naso, R. Quintanilla, Qualitative results for a mixture of Green-Lindsay thermoelastic solids, Chaotic Modeling and Simulation, July 2018, num. 3, p. 285-294.

  23. J.E. Muñoz Rivera, M.G. Naso, About the stability to Timoshenko system with one boundary dissipation, Appl. Math. Lett., 86 (2018), 111-118.

  24. N. Bazarra, A. Berti, J.R. Fernández, M.G. Naso, Analysis of contact problems in porous thermoelastic solids, J. Thermal Stresses, 41 (2018), no.4, 439-468.

  25. Hone A.N.W, Zullo F.: A Hirota bilinear equations for Painlevé transcendents PIV, PII and PI, Random Matrices Theory and Applications, 2018

  26. Carillo S., Zullo F: Ermakov-Pinney and Emden-Fowler equations: new solutions from novel Bäcklund transformations, Theoretical and Mathematical Physics, vol. 196, 2018

  27. F. Dell’Oro, C. Giorgi, V. Pata, Steady states of the elastically-coupled extensible double- beam system, doi:10.3934/Math.2017.1.28, AIMS Mathematics, 2 (2017) 28–69.

  28. M. Fabrizio, C. Giorgi, A. Morro, Modelling of heat conduction via fractional derivatives, Heat Mass Transf., 53 (2017) 2785–2797.

  29. A. Berti, M.G. Naso, A contact problem of a thermoelastic rod with voids and microtemperatures, ZAMM Z. Angew. Math. Mech., 97 (2017), no.6, 670-685.

  30. 14. A. Berti, C. Giorgi, Derivation of the Landau-Lifshitz-Bloch equation from continuum Thermodynamics, Physica B, 500 (2016) 142-153.

  31. 15. C. Giorgi, A. Montanaro, Constitutive Equations and Wave Propagation in Green- Naghdi Type II and III Thermoelectroelasticity, J. Thermal Stresses, 39 (2016) 1051- 1073.

  32. 16. I. Bochicchio, C. Giorgi, E. Vuk, Buckling and nonlinear dynamics of elastically-coupled double-beam systems, International Journal Non-Linear Mechanics, 85 (2016), 161-173.

  33. F. Dell’Oro, C. Giorgi, Global attractors for the coupled suspension bridge system with temperature, Math. Methods Appl. Sci., Math. Methods Appl. Sci. 39 (2016), 864–875

  34. J.E. Muñoz Rivera, M.G. Naso, R. Quintanilla, Decay of solutions for a mixture of thermoelastic solids with different temperatures, Comput. Math. Appl., 71 (2016), no.4, 991-1009.

  35. M. Fabrizio, C. Giorgi, A. Morro, Solidification and separation in saline water, Discrete Contin. Dyn. Syst. Ser. S, 9 (2016) 139–155.

  36. A. Berti, C. Giorgi, E Vuk, Hysteresis and temperature-induced transitions in ferromagnetic materials, Appl. Math. Model., 39 (2015) 820–837.

  37. F. Dell’Oro, C. Giorgi, V. Pata, Asymptotic behavior of coupled linear systems modeling suspension bridges, Z. Angew. Math. Phys., 66 (2015) 1095–1108.

  38. A. Berti, J.E. Muñoz Rivera, M.G. Naso, A contact problem for a thermoelastic Timoshenko beam, Z. Angew. Math. Phys., 66 (2015), no. 4, 1969-1986.

  39. I. Bochicchio, C. Giorgi, E Vuk, Well-posedness and longtime behaviour of a coupled non- linear system modeling a suspension bridge, Meccanica, 50 (2015) 665–673.

  40. A. Berti, M.I.M. Copetti, J.R. Fernández, M.G. Naso, A dynamic thermoviscoelastic contact problem with the second sound effect, J. Math. Anal. Appl., 421 (2015), no. 2, 1163-1195.

  41. A. Berti, C. Giorgi, E. Vuk, Hysteresis and temperature-induced transitions in ferro-magnetic materials, Appl. Math. Modell., 39 (2015), 820-837.

  42. M. Fabrizio, C. Giorgi, A. Morro, Phase separation in compressible Cahn-Hilliard fluids, Discrete Contin. Dyn. Syst. Ser. B, 19 (2014) 73-88.

  43. A. Berti, M.I.M. Copetti, J.R. Fernández, M.G. Naso, Analysis of dynamic nonlinear thermoviscoelastic beam problems, Nonlinear Anal., 95 (2014), 774-795.

  44. I. Bochicchio, C. Giorgi, E. Vuk, On the viscoelastic coupled suspension bridge, Evolution Equations and Control Theory, 3 (2014), 373-397.

  45. I. Bochicchio, C. Giorgi, E. Vuk, Long-term Dynamics of a Viscoelastic Suspension Bridge, Meccanica, 49 (2014), 2139-2151.

  46. A. Berti, C. Giorgi, E. Vuk, First-order phase transitions and hysteresis, Acta Appl. Math., 132 (2014), 73-82.

  47. J.E. Muñoz Rivera, M.G. Naso, R. Quintanilla, Decay of solutions for a mixture of thermoelastic one dimensional solids, Comput. Math. Appl., 66 (2013), no. 1, 41-55.

  48. C. Giorgi, E. Vuk, Steady-state solutions for a suspension bridge with intermediate supports, Boundary Value Problems, 2013, 2013:204.

  49. I. Bochicchio, C. Giorgi, E. Vuk, Asymptotic dynamics of nonlinear coupled suspension bridge equations, J. Math. Anal. Appl., 402 (2013) 319-333.

  50. A. Berti, M.G. Naso, Vibrations of a damped extensible beam between two stops, Evol. Equ. Control Theory, 2 (2013), no. 1, 35-54.

  51. 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.

  52. I. Bochicchio, C. Giorgi, E. Vuk, Long-term dynamics of the coupled suspension bridge, Math. Models Methods Appl. Sci., 22 (2012) 1250021 (22 pages).

  53. A. Berti, M.G. Naso, Unilateral dynamic contact of two viscoelastic beams, Quart. Appl. Math., 69 (2011), no. 3, 477-507.

  54. M. Fabrizio, C. Giorgi, V. Pata, A new approach to equations with memory, Arch. Rational Mech. Anal., 198 (2010) 189-232.

  55. 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.

  56. A. Berti, C. Giorgi, A phase-field model for liquid-vapor transitions, J. Non-Equilibrium Thermodyn., 34 (2009) 219-247.

  57. 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.

  58. C. Giorgi, M.G. Naso, V. Pata, M. Potomkin, Global attractors for the extensible thermoelastic beam system, J. Differential Equations, 246 (2009) 3496-3517.

  59. C. Giorgi, V. Pata, E. Vuk, On the extensible viscoelastic beam, Nonlinearity, 21 (2008) 713-733.

  60. G. Bonfanti, J.E. Muñoz Rivera, M.G. Naso, Global existence and exponential stability for a contact problem between two thermoelastic beams, J. Math. Anal. Appl., 345 (2008), no. 1, 186-202

  61. V. Berti, M. Fabrizio, C. Giorgi, Well-posedness for solid-liquid phase transitions with a fourth-order nonlinearity, Physica D, 236 (2007) 13-21.

  62. M. Fabrizio, C. Giorgi, A. Morro, A thermodynamic approach to non-isothermal phase-field evolution in continuum physics, Physica D, 214 (2006) 144-156.

  63. J.E. Muñoz Rivera, M.G. Naso, F.M. Vegni, Asymptotic behavior of the energy for a class of weakly dissipative second-order systems with memory, J. Math. Anal. Appl., 286 (2003), no.2, 692-704.

  64. A. Benabdallah, M.G. Naso, Null controllability of a thermoelastic plate, Abstr. Appl. Anal. 7 (2002), no.11, 585-599