Ulisse Stefanelli - Publications


updated May. 5, 2012

(all files are preprint versions)








73. E. Mainini, U. Stefanelli
Crystallization in carbon nanostructures
Preprint IMATI-CNR, 8PV12/7/0, 2012
72. M. Liero, U. Stefanelli
Weighted Inertia-Dissipation-Energy functionals for semilinear equations
Preprint IMATI-CNR, 6PV12/5/0, 2012
71. M. Liero, U. Stefanelli
A new minimum principle for Lagrangian mechanics
Preprint IMATI-CNR, 1PV12/1/0, 2012
70. R. Rossi, G. Savaré, A. Segatti, U. Stefanelli
A variational principle for gradient flows in metric spaces
C. R. Math. Acad. Sci. Paris, 349 (2011), 1224--1228. (pdf)
69. D. Bucur, G. Buttazzo, U. Stefanelli
Shape flows for shape optimization problems
Preprint IMATI-CNR, 14PV11/10/0, 2011
68. A. Mielke, U. Stefanelli
Linearized plasticity is the evolutionary Gamma-limit of finite plasticity
J. Eur. Math. Soc. (JEMS), to appear, 2012 (pdf)
67. S. Frigeri, U. Stefanelli
Existence and time-discretization for the finite-strain Souza-Auricchio constitutive model for shape-memory alloys
Contin. Mech, Thermodyn., 24 (2012), 1:63-77 (pdf)
66. M. Eleuteri, L. Lussardi, U. Stefanelli
Thermal control of the Souza-Auricchio models for shape memory alloys
Discrete Cont. Dyn. Syst.-S, to appear, 2012 (pdf)
65. U. Stefanelli
Magnetic control of magnetic shape-memory crystals
Phys. B, to appear, 2012 (pdf)
64. E. N. Spadaro, U. Stefanelli
A variational view at the time-dependent minimal surface equation
J. Evol. Equ., to appear, 2011 (pdf)
63. A. Fiaschi, D. Knees, U. Stefanelli
Young-measure quasi-static damage evolution
Arch. Ration. Mech. Anal, to appear (pdf)
62. G. Akagi, U. Stefanelli
Periodic solutions for doubly nonlinear evolution equations
J. Differential Equations, 251 (2011), 1790--1812 (pdf)
61. A.-L. Bessoud, M. Kruzik, U. Stefanelli
A macroscopic model for magnetic shape memory alloys
Z. Angew. Math. Phys., to appear 2012 (pdf)
60. F. Auricchio, A.-L. Bessoud, A. Reali, U. Stefanelli
A three-dimensional phenomenological models for Magnetic Shape Memory Alloys
GAMM-Mitt., 34 (2011), 1:90--96 (pdf)
59. L. Lussardi, M. Eleuteri, U. Stefanelli
A rate-independent model for permanent inelastic effects in shape memory materials
Netw. Heterog. Media, 6 (2011), 1:145--165 (pdf)
58. U. Stefanelli
The De Giorgi Conjecture on elliptic regularization
Math. Models Meth. Appl. Sci., 21 (2011), 6:1377--1394. (pdf)
57. S. Frigeri, P. Krejcí, and U. Stefanelli
Quasistatic isothermal evolution of shape memory alloys
Math. Models Meth. Appl. Sci., 21 (2011) 12:2409-2432 (pdf)
56. A.-L. Bessoud and U. Stefanelli
Magnetic Shape Memory Alloys: three-dimensional modeling and analysis
Math. Models Meth. Appl. Sci., 21 (2011), 5:1043--1069 (pdf)
55. G. Akagi and U. Stefanelli
Weighted energy-dissipation functionals for doubly nonlinear evolution
J. Funct. Anal., 260 (2011), 9:2541--2578. (pdf)
54. G. Akagi and U. Stefanelli
A variational principle for doubly nonlinear evolution
Appl. Math. Lett., 23 (2010) 9:1120-1124. (pdf)
53. R. Rossi, A. Segatti, and U. Stefanelli
Global attractors for gradient flows in metric spaces
J. Math. Pures Appl. (9), 95 (2011), 2:204--244. (pdf)
52. P. Krejcí and U. Stefanelli
Well-posedness of a thermo-mechanical model for shape memory alloys under tension.
M2AN Math. Model. Numer. Anal., 44 (2010), 6:1239--1253 (pdf)
51. P. Krejcí and U. Stefanelli
Existence and nonexistence for the full thermomechanical Souza-Auricchio model of shape memory wires.
Math. Mech. Solids, 16 (2011), 4:349--365. (pdf)
50. A. Mielke, L. Paoli, A. Petrov, and U. Stefanelli
Error estimates for discretizations of a rate-independent variational inequality
SIAM J. Numer. Anal., 48 (2010), 5: 1625--1646. (pdf)
49. A. Mielke and U. Stefanelli
Weighted energy-dissipation functionals for gradient flows
ESAIM Control Optim. Calc. Var., 17 (2011), 1:52--85. (pdf)
48. U. Stefanelli
A variational characterization of rate-independent evolution
Math. Nachr., 282 (2009), 11:1492--1512. (pdf)
47. U. Stefanelli and A. Visintin
Some nonlinear evolution problems in mixed form
Boll. Unione Mat. Ital. (9), 2 (2009) 303-320. (pdf)
46. A. Mielke and U. Stefanelli
A discrete variational principle for rate-independent evolution
Adv. Calc. Var. 1 (2008) 4:399--431. (pdf)
45. F. Auricchio, A. Reali, and U. Stefanelli
A macroscopic 1D model for shape memory alloys including
asymmetric behaviors and transformation-dependent elastic properties
Comput. Methods Appl. Mech. Engrg., 198 (2009), 1631--1637. (pdf)
44. U. Stefanelli
The discrete Brezis-Ekeland principle
J. Convex Anal., 16 (2009), 1:71--87. (pdf)
43. U. Stefanelli
A variational principle for hardening elastoplasticity
SIAM J. Math. Anal., 40 (2008), 2:623--652. (pdf)
42. F. Auricchio, A. Mielke, and U. Stefanelli
A rate-independent model for the isothermal quasi-static evolution of shape-memory materials
Math. Models Meth. Appl. Sci., 18 (2008), 1:125--164. arXiv:0708.4378
41. G. Gilardi and U. Stefanelli
Existence for a doubly nonlinear Volterra equation
J. Math. Anal. Appl., 333 (2007), 2:839--862. (pdf)
40. N. Chemetov, M. Monteiro Marques, and U. Stefanelli
Ordered non-convex quasi-variational sweeping processes
J. Convex Anal., 15 (2008), 2:201--214. (pdf)
39. A. Mielke, T. Roubícek, and U. Stefanelli
Gamma-limits and relaxations for rate-independent evolutionary problems
Calc. Var. Partial Differential Equations, 31 (2008), 3:387--416.(pdf)
38. L.A. Caffarelli and U. Stefanelli
A counterexample to C^{2,1} regularity for parabolic fully nonlinear equations
Comm. Partial Differential Equations, 33 (2008), 7:1216-1234. arXiv:math/0701769
37. F. Auricchio, A. Reali, and U. Stefanelli
A three-dimensional model describing stress-induced solid phase transformation with permanent inelasticity
Int. J. Plasticity, 23 (2007), 2:207--226. (pdf)
36. R. Rossi, A. Segatti, and U. Stefanelli
Attractors for gradient flows of non convex functionals and applications
Arch. Ration. Mech. Anal., 187 (2008) 1:91-135. arXiv:0705.4531
35. U. Stefanelli
Some remarks on convergence and approximation for a class of hysteresis problems
Istit. Lombardo Accad. Sci. Lett. Rend. A, 140 2006 (2009), 81--108. (pdf)
34. G. Schimperna, A. Segatti, and U. Stefanelli
Well-posedness and long-time behavior for a class of doubly nonlinear equations
Discrete Contin. Dyn. Syst., 18 (2007), 15--38. arXiv:math/0611071
33. U. Stefanelli
The Brezis-Ekeland principle for doubly nonlinear equations
SIAM J. Control Optim., 47 (2008), 3:1615--1642. (pdf)
32. F. Luterotti, G. Schimperna, and U. Stefanelli
Existence results for a phase transition model based on microscopic movements
in Differential Equations: Inverse and Direct Problems, A. Favini and A. Lorenzi eds.,
Lecture notes in pure and applied mathematics, vol. 251, 245--263, Taylor and Francis, 2006. (pdf)
31. R. Peyroux and U. Stefanelli
Analysis of a 1D thermoviscoelastic model with temperature-dependent viscosity
in Dissipative phase transitions, P. Colli, N. Kenmochi, and J. Sprekels eds.,
Series on Advances in Mathematics for Applied Sciences, vol. 71, World Sci. Publishing, 2006. (pdf)
30. G. Gilardi and U. Stefanelli
Time-discretization and global solution for a doubly nonlinear Volterra equation
J. Differential Equations, 228 (2006), 2:707--736. (pdf)
29. U. Stefanelli
Analysis of a variable time-step discretization for a phase transition model with micro-movements
Comm. Pure Appl. Anal., 5 (2006), 3:657--671. (pdf)
28. G. Schimperna and U. Stefanelli
Positivity of the temperature for phase transitions with micro-movements
Nonlinear Anal. Real World Appl., 8 (2007), 1:257--266. (pdf)
27. U. Stefanelli
Analysis of a thermo-mechanical model for shape memory alloys
SIAM J. Math. Anal., 37 (2005), 1:130-155. (pdf)
26. R. Rossi and U. Stefanelli
An order approach to a class of quasivariational sweeping processes
Adv. Differential Equations, 10 (2005), 5:527-552. (pdf)
25. U. Stefanelli
Some quasivariational problems with memory
Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8), 7 (2004), 319-333. (pdf)
24. F. Auricchio and U. Stefanelli
Well-posedness and approximation for a one-dimensional model for shape memory alloys
Math. Models Meth. Appl. Sci., 15 (2005), 9:1301-1327. (pdf)
23. R.E. Showalter and U. Stefanelli
Diffusion in poro-plastic media
Math. Methods Appl. Sci., 27 (2004), 18:2131-2151. (pdf)
22. U. Stefanelli
Nonlocal quasivariational evolution problems
J. Differential Equations, 229 (2006), 1:204-228. (pdf)
21. G. Schimperna and U. Stefanelli
A quasi-stationary phase-field model with micro-movements
Appl. Math. Optim., 50 (2004), 1:67-86. (pdf)
20. K. Shirakawa and U. Stefanelli
Structure result for steady-state solutions of a one-dimensional Frémond model of SMA
Phys. D, 190 (2004), 3-4:190-212. (pdf)
19. F. Luterotti, G. Schimperna, and U. Stefanelli
A generalized phase-relaxation model with hysteresis
Nonlinear Anal., 55 (2003), 4:381-398. (pdf)
18. F. Auricchio and U. Stefanelli
Numerical analysis of a 3-D super-elastic constitutive model
Int. J. Numer. Meth. Engng., 61 (2004), 1:142-155. (pdf)
17. D. Kessler, J.-F. Scheid, G. Schimperna, and U. Stefanelli
Study of a system for the isothermal separation of components in a binary alloy with change of phase
IMA J. Appl. Math., 69 (2004), 233-257. (pdf)
16. P. Krejcí, J. Sprekels, and U. Stefanelli
One-dimensional thermo-visco-plastic processes with hysteresis and phase transitions
Adv. Math. Sci. Appl., 13 (2003), 2:695-712. (pdf)
15. Ph. Laurençot, G. Schimperna, and U. Stefanelli
Global Existence of a Strong Solution to the One-Dimensional Full Model for Irreversible Phase Transitions
J. Math. Anal. Appl., 271 (2002), 2:426-442. (pdf)
14. U. Stefanelli
On Some Nonlocal Evolution Equations in Banach Spaces
J. Evol. Equ., 4 (2004), 1:1-26. (pdf)
13. F.Luterotti and U. Stefanelli
Existence result for the one-dimensional full model of phase transitions
Z. Anal. Anwendungen, 21 (2002), 2:335-350. (pdf)
Errata and Addendum, ibid., 22 (2003), 1:239-240. (pdf)
12. P. Krejcí, J. Sprekels, and U. Stefanelli
Phase-field models with hysteresis in one-dimensional thermo-visco-plasticity
SIAM J. Math. Anal., 34 (2002), 2:409-434. (pdf)
11. U. Stefanelli
On a class of doubly nonlinear nonlocal evolution equations
Differential Integral Eq., 15 (2002), 8:897-922. (pdf)
10. P. Colli, Ph. Laurençot, and U. Stefanelli
Long-Time Behavior for the Full One-Dimensional Frémond Model for Shape Memory Alloys
Contin. Mech. Thermodyn., 12 (2000), 6:423-433. (pdf)
9. F. Luterotti, G. Schimperna, and U. Stefanelli
Global solution to a phase field model with irreversible and constrained evolution
Quart. Appl. Math., 60 (2002), 2:301-316. (pdf)
8. U. Stefanelli
Boundedness of the temperature for the general Frémond model for shape memory alloys
Z. Angew. Math. Phys., 53 (2002), 4:704-711. (pdf)
7. U. Stefanelli
Well-posedness and time-discretization of a nonlinear Volterra integrodifferential equation
J. Integral Equations Appl., 13 (2001), 3: 273-304. (pdf)
6. F. Luterotti, G. Schimperna, and U. Stefanelli
Existence result for a nonlinear model related to irreversible phase changes
Math. Models Meth. Appl. Sci., 11 (2001), 5:809-827. (pdf)
5. P. Colli, F. Luterotti, G. Schimperna, and U. Stefanelli
Global existence for a class of generalized systems for irreversible phase changes
NoDEA Nonlinear Differential Equations Appl., 9 (2002), 3:255-276. (pdf)
4. U. Stefanelli
Error control for a time-discretization of the full one-dimensional Frémond model for shape memory alloys
Adv. Math. Sci. Appl., 10 (2000), 2:917-936. (pdf)
3. U. Stefanelli
Analysis of a variable time-step discretization of the three-dimensional Frémond model for shape memory alloys
Math. Comp., 71 (2002), 240:1413-1435. (pdf)
2. U. Stefanelli
Error control of a nonlinear evolution problem related to phase transitions
Numer. Funct. Anal. and Optimiz., 20 (1999), 5&6:585-608. (pdf)
1. U. Stefanelli
Analysis of a variable time-step discretization for the Penrose-Fife phase relaxation problem
Nonlinear Anal., 45 (2001), 2:213-240. (pdf)
Volumes edited
V2. T. Roubicek, U. Stefanelli
Rate-independent evolutions and material modeling
Pubblicazione IMATI - CNR 29PV10/27/0, 2010, (pdf)
V1. A. Miranville, U. Stefanelli
Thermomechanics and phase change
Discrete Contin. Dyn. Systs. S, 4 (2011), number 2.
Proceedings
P11. F. Auricchio, J. Arghavani, M. Conti, S. Morganti, A. Reali, U. Stefanelli
Shape memory alloys: effective 3D modeling, computational aspects, analysis of actuator and Biomedical devices
Oberwolfach Report 14/2010, (2010), 771--773.ACTUATOR10 - Internatina Conference and Exhibition on new cctuators and drive systems. Bremen, 2010.
P10. F. Auricchio, A.-L. Bessoud, A. Reali, U. Stefanelli
Macroscopic modeling of magnetic shape memory alloys
Oberwolfach Report 14/2010, (2010), 771--773. (pdf)
P9. A. Mielke, L. Paoli, A. Petrov, and U. Stefanelli
Space-time error bounds for an isothermal model for shape memory alloys.
Proceedings of COMPLAS X, X International conference on Computational Plasticity (barcelona, 2009), CIMNE 2009. (pdf)
P8. A. Mielke, L. Paoli, A. Petrov, and U. Stefanelli
Error bounds for space-time discretizations of a 3D model for shape memory alloys.
Proceedings of the IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials (Bochum 2008), IUTAM Bookseries, Springer, 2009. (pdf)
P7. N. Kenmochi and U. Stefanelli
Existence for a class of nonlocal quasivariational evolution problems
Proceedings of the International Conference 'Nonlinear Phenomena with Energy Dissipation' (Chiba, Japan 2007), P. Colli, A. Damlamian, N. Kenmochi, M. Mimura, and J. Sprekels eds. Gakuto International Series in Mathematical Sciences and Applications, vol. 29, 253--264, Gakkotosho. (pdf)
P6. U. Stefanelli
A variational principle in non-smooth Mechanics
Oberwolfach Report 11/2007, MFO Workshop 'Analysis and numerics for rate-independent processes', 4 (2007), 1:622--624.(pdf)
P5. F. Auricchio, A. Reali, and U. Stefanelli
Modeling and numerical solutions for shape-memory materials
Oberwolfach Report 11/2007, MFO Workshop 'Analysis and numerics for rate-independent processes', 4 (2007), 1:601--605.
P4. F. Auricchio, A. Reali, and U. Stefanelli
A phenomenological 3D model describing stress-induced solid phase transformations with permanent inelasticity
in Topics on Mathematics for Smart Systems (Rome, 2006), 1--14, World Sci. Publishing, 2007.
P3. U. Stefanelli
Phase transitions and hysteresis in one-dimensional thermo-plasticity
Mathematical models and methods for smart materials (Cortona, 2001)
Ser. Adv. Math. Appl. Sci., 62, 355--362, World Sci. Publishing, River Edge, NJ, 2002.
P2. F.Luterotti, G. Schimperna, and U. Stefanelli
Local solution to Frémond's full model for irreversible phase transitions
Mathematical models and methods for smart materials (Cortona, 2001)
Ser. Adv. Math. Appl. Sci., 62, 323--328, World Sci. Publishing, River Edge, NJ, 2002.
P1. U. Stefanelli
Error control of Frémond models of shape memory alloys
Proc. ESF-AMIF PCC99 workshop, IPPT-PAN report n. 5, 1999.