ARTICOLI

1. L. Bertini, P. Buttà, G. Di Gesù, Asymptotics of the  φ14 measure in the sharp interface limit, Preprint at http://arxiv.org/abs/2407.02225 (2024).

2. P. Buttà, G. Cavallaro, C. Marchioro, Long time evolution of concentrated vortex rings with large radius, Preprint at http://arxiv.org/abs/2405.06518 (2024).

3. P. Buttà, G. Cavallaro, C. Marchioro, Leapfrogging vortex rings as scaling limit of Euler Equations, Preprint at http://arxiv.org/abs/2310.00732 (2023).

4. P. Buttà, M. Pulvirenti, S. Simonella, From particle systems to the BGK equation, Ensaios Matemáticos 38 (2023), pp. 127-140.

5. P. Buttà, M. Pulvirenti, A stochastic particle system approximating the BGK equation, Kinet. Relat. Models 16 (2023), pp. 269-293.

6. P. Buttà, B. Goddard, T.M. Hodgson, M. Ottobre, K.J. Painter, Non-mean-field Vicsek-type models for collective behaviour, Math. Models Methods Appl. Sci. 32 (2022), pp. 2763-2816.

7. P. Buttà, G. Cavallaro, C. Marchioro, Vanishing viscosity limit for concentrated vortex rings, J. Math. Phys. 63 (2022), 123103

8. P. Buttà, G. Cavallaro, C. Marchioro, Global time evolution of concentrated vortex rings, Z. Angew. Math. Phys. 73 (2022), Article 70.

9. P. Buttà, M. Hauray, M. Pulvirenti, Particle approximation of the BGK equation, Arch. Ration. Mech. Anal. 240 (2021), pp. 785-808.

10. P. Buttà, C. Marchioro, Cucker-Smale type dynamics of infinitely many individuals with repulsive forces, J. Stat. Phys. 181 (2020), pp. 2094-2108.

11. D. Benedetto, P. Buttà, E. Caglioti, Some aspects of the inertial spin model for flocks and related kinetic equations, Math. Models Methods Appl. Sci. 30 (2020), pp. 1987-2022.

12. P. Buttà, E.N.M. Cirillo, G. Sciarra, Stability of the stationary profiles of the Allen-Cahn equation with not constant stiffness, Wave Motion 98 (2020), Article 102641.

13. P. Buttà, C. Marchioro, Time evolution of concentrated vortex rings, J. Math. Fluid Mech. 22 (2020), Article 9.

14. P. Buttà, F. Flandoli, M. Ottobre, B. Zegarlinski, A non-linear kinetic model of self-propelled particles with multiple equilibria, Kinet. Relat. Models 12 (2019), pp. 791-827.

15. L. Bertini, P. Buttà, A. Pisante, On large deviations of interface motions for statistical mechanics models, Ann. Henri Poincaré 20 (2019), pp. 1785-1821.

16. V.D.P. Servedio, P. Buttà, D. Mazzilli, A. Tacchella, L. Pietronero, A New and Stable Estimation Method of Country Economic Fitness and Product Complexity, Entropy 20 (2018), Paper No. 783, 15 pages.

17. P. Buttà, C. Marchioro, Long time evolution of concentrated Euler flows with planar symmetry, SIAM J. Math. Anal. 50 (2018), pp. 735-760.

18. L. Bertini, P. Buttà, A. Pisante, Stochastic Allen-Cahn equation with mobility, Nonlinear Differ. Equ. Appl. 24: 54 (2017).

19. L. Bertini, P. Buttà, A. Pisante, Stochastic Allen-Cahn approximation of the mean curvature flow: large deviations upper bound, Arch. Ration. Mech. Anal. 224 (2017), pp. 659-707.

20. P. Buttà, C. Marchioro, Dynamics of infinite classical anharmonic crystals, J. Stat. Phys. 164 (2016), pp. 680-692.

21. P. Buttà, N. Guglielmi, M. Manetta, S. Noschese, Differential equations for real-structured defectivity measures, SIAM J. Matrix Anal. Appl. 36 (2015), pp. 523-548.

22. L. Bertini, S. Brassesco, P. Buttà, Front fluctuations for the stochastic Cahn-Hilliard equation, Braz. J. Probab. Stat. 29 (2015), pp. 336-371.

23. P. Buttà, S. Noschese, Structured conditioning of Hamiltonian eigenvalue problems, J. Comput. Appl. Math. 272 (2014), pp. 304-312.

24. P. Buttà, G. Cavallaro, C. Marchioro, Dynamics of infinitely extended hard core systems, Rep. Math. Phys. 72 (2013), pp. 369-377.

25. P. Buttà, R. Esposito, A. Giuliani, R. Marra, Froth-like minimizers of a non local free energy functional with competing interactions, Commun. Math. Phys. 322 (2013), pp. 593-632.

26. L. Bertini, P. Buttà, Drift of phase fluctuations in the ABC model, J. Stat. Phys. 152 (2013), pp. 15-36.

27. P. Buttà, N. Guglielmi, S. Noschese, Computing the structured pseudospectrum of a Toeplitz matrix and its extreme points, SIAM J. Matrix Anal. Appl. 33 (2012), pp. 1300-1319.

28. P. Buttà, G. Cavallaro, C. Marchioro, Time evolution of two dimensional systems with infinitely many particles mutually interacting via very singular forces, J. Stat. Phys. 147 (2012), pp. 412-423.

29. L. Bertini, P. Buttà, A. Garroni, Boundary effects in the gradient theory of phase transitions, SIAM J. Math. Anal. 44 (2012), pp. 926-945.

30. C. Boldrighini, P. Buttà, Navier-Stokes equations on the flat cylinder with vorticity production on the boundary, Nonlinearity 24 (2011), pp. 2639-2662.

31. P. Buttà, P. Negrini, On the stability problem of stationary solutions for the Euler equation on a 2-dimensional torus, Regul. Chaotic Dyn. 15 (2010), pp. 637-645.

32. P. Buttà, G. Ferrari, C. Marchioro, Speedy motions of a body immersed in an infinitely extended medium, J. Stat. Phys. 140 (2010), pp. 1182-1194.

33. P. Buttà, P. Negrini, Directed current in quasi-adiabatically ac-driven nonlinear systems, Math. Models Methods Appl. Sci. 20 (2010), pp. 223-236.

34. P. Buttà, F. Cerreti, V.D.P. Servedio, L. Triolo, Molecular dynamics simulation of vascular network formation, Journal of Statistical Mechanics: Theory and Experiments  (2009) P05013, 10 pages.

35. L. Bertini, S. Brassesco, P. Buttà, Dobrushin states in the φ14model, Arch. Ration. Mech. Anal. 190 (2008), pp. 477-516.

36. L. Bertini, S. Brassesco, P. Buttà, Soft and hard wall in a stochastic reaction diffusion equation, Arch. Ration. Mech. Anal. 190 (2008), pp. 307-345.

37. P. Buttà, P. Negrini, Resonances and O-curves in Hamiltonian systems, Regul. Chaotic Dyn. 12 (2007), pp. 521-530.

38. P. Buttà, E. Caglioti, S. Di Ruzza, C. Marchioro, On the propagation of a perturbation in an anharmonic system, J. Stat. Phys. 127 (2007), pp. 313-325.

39. P. Buttà, C. Marchioro, Dynamical systems approach to non-equilibrium statistical mechanics, in Encyclopedia of Mathematical Physics, Elsevier 2006, pp. 540-544.

40. P. Buttà, S. Caprino, G. Cavallaro, C. Marchioro, On the dynamics of infinitely many charged particles with magnetic confinement, Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. 9 (2006), pp. 371-395.

41. P. Buttà, A. Procacci, B. Scoppola, Kac polymers, J. Stat. Phys. 119 (2005), pp. 643-658.

42. P. Buttà, J.L. Lebowitz, Local mean field models of uniform to nonuniform density fluid-crystal transitions, Journal of Physical Chemistry B 109 (2005), 6849-6854.

43. P. Buttà, F. Manzo, C. Marchioro, A simple Hamiltonian model of runaway particle with singular interaction, Math. Models Methods Appl. Sci. 15 (2005), pp. 753-766.

44. V.D.P. Servedio, G. Caldarelli, P. Buttà, Vertex Intrinsic Fitness: How to Produce Arbitrary Scale Free Networks, Physical Review E 70 (2004), 056126, 4 pages.

45. P. Buttà, E. Caglioti, C. Marchioro, On the violation of Ohm's law for bounded interactions: a one dimensional system, Commun. Math. Phys. 249 (2004), pp. 353-382.

46. P. Buttà, A. De Masi, E. Rosatelli, Slow motion and metastability for a non local evolution equation, J. Stat. Phys. 112 (2003), pp. 709-764.

47. L. Bertini, P. Buttà, E. Presutti, E. Saada, Interface fluctuations in a conserved system: derivation and long time behavior, Markov Process. Related Fields 9 (2003), pp. 1-34.

48. P. Buttà, E. Caglioti, C. Marchioro, On the motion of a charged particle interacting with an infinitely extended system, Commun. Math. Phys. 233 (2003), pp. 545-569.

49. P. Buttà, E. Caglioti, C. Marchioro, On the long time behavior of infinitely extended systems of particles interacting via Kac potentials, J. Statist. Phys. 108 (2002), pp. 317-339.

50. L. Bertini, S. Brassesco, P. Buttà, E. Presutti, Stochastic phase field equations: existence and uniqueness, Ann. Henri Poincaré 3 (2002), pp. 87-98.

51. L. Bertini, S. Brassesco, P. Buttà, E. Presutti, Front fluctuations in one dimensional stochastic phase field equations, Ann. Henri Poincaré 3 (2002), pp. 29-86.

52. G. Bellettini, P. Buttà, E. Presutti, Sharp interface limits for non local anisotropic interactions, Arch. Ration. Mech. Anal. 159 (2001), pp. 109-135.

53. L. Bertini, P. Buttà, B. Rüdiger, Interface dynamics and Stefan problem from a microscopic conservative model, Rend. Mat. Appl. (7) 19 (1999), pp. 547-581.

54. P. Buttà, J.L. Lebowitz, Hydrodynamic limit of Brownian particles interacting with short and long range forces, J. Statist. Phys. 94 (1999), pp. 653-694.

55. P. Buttà, A. De Masi, Fine structure of the interface motion, Differential Integral Equations 12 (1999), pp. 207-259.

56. S. Brassesco, P. Buttà, Interface fluctuations for the d=1 stochastic Ginzburg-Landau equation with non-symmetric reaction term, J. Statist. Phys. 93 (1998), pp. 1111-1142.

57. P. Buttà, P. Picco, Large deviation principle for one dimensional vector spin models with Kac potentials, J. Statist. Phys. 92 (1998), pp. 101-150.

58. S. Brassesco, P. Buttà, A. De Masi, E. Presutti, Interface fluctuations and couplings in the D=1 Ginzburg-Landau equation with noise, J. Theoret. Probab. 11 (1998), pp. 25-80.

59. O. Benois, T. Bodineau, P. Buttà, E. Presutti, On the validity of van der Waals theory of surface tension, Markov Process. Related Fields 3 (1997), pp. 175-198.

60. P. Buttà, I. Merola, E. Presutti, On the validity of the van der Waals theory in Ising systems with long range interactions, Markov Process. Related Fields 3 (1997), pp. 63-88.

61. P. Buttà, Motion by mean curvature by scaling a nonlocal equation: convergence at all times in the two-dimensional case, Lett. Math. Phys. 31 (1994), pp. 41-55. 

62. P. Buttà, On the validity of an Einstein relation in models of interface dynamics, J. Statist. Phys. 72 (1993), pp. 1401-1406.

PROCEEDINGS

1. L. Bertini, S. Brassesco, P. Buttà, Boundary Effects on the Interface Dynamics for the Stochastic Allen-Cahn Equation, In: New Trends in Mathematical Physics - Selected contributions of the XVth International Congress on Mathematical Physics (V. Sidoravicius Ed.). Springer 2009, pp. 87-93.

2. L. Bertini, P. Buttà, B. Rüdiger, A microscopic model of phase field type, Seminar on Stochastic Analysis, Random Fields and Applications (Ascona, 1996), Progr. Probab. Vol. 45 Birkhäuser, Basel, (1999), pp. 63-71.

LIBRI

1. P. Buttà, G. Cavallaro, C. Marchioro, Mathematical Models of Viscous Friction, Lecture Notes in Mathematics, 2135, Springer, Cham, 2015.

2. P. Buttà, P. Negrini, Note del corso di Meccanica Razionale (Collana Studi Matematici), Edizioni Nuova Cultura 2012.

Preprints dei lavori più recenti su arXiv e-print repository