Published & Accepted papers: 

   (updated 28/02/2024)

1. G. Canevari, A. Segatti, Dimension reduction and emergence of defects in the Oseen-Frank model for nematic liquid crystals, Discrete Contin. Dyn. Sist. Ser. S, (2024), no.1, 98-130, (preprint).

2. G. Canevari, A. Segatti, Dynamics of Ginzburg-Landau vortices for vector fields on surfaces, J. Funct. Anal. 285 (2023), no. 11, (preprint).

3.  A. Hyder, A. Segatti, Y. Sire, C. Wang, Partial regularity of the heat flow of half harmonic maps and applications to harmonic maps with free boundary,  Comm. Partial Differential Equations, (2022), Vol. 47, no. 9, 1845-1882, (preprint).

4.  G. Canevari, A. Segatti, Motion of vortices for the extrinsic Ginzburg-Landau flow for vector fields on surfaces,  Discrete Contin. Dyn. Syst. Ser. S, (2022), no. 8, 2087-2116, (preprint).

5.  A. Segatti, J.L. Vazquez, On a fractional thin film equation,  Adv. Nonlinear Anal. 9 (2020), no. 1, 1516–1558, (preprint). 

6. R. Rossi, G. Savaré, A. Segatti, U. Stefanelli, Weighted energy-dissipation principle for gradient flows in metric spaces. J. Math. Pures Appl. (9) 127 (2019), 1–66, (preprint).

7. G. Hrkak, C. M. Pfeiler, D. Praetorius, M. Ruggeri, A. Segatti, B. Stiffner, Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics. Adv. Comput. Math. 45 (2019), no. 3, 1329–1368, (preprint).

8. G. Akagi, G. Schimperna, A. Segatti, Convergence of solutions for the fractional Cahn-Hilliard system. J. Funct. Anal. 276 (2019), no. 9, 2663–2715, (preprint).

9. G. Akagi, G. Schimperna, A. Segatti, L. Spinolo, Quantitative estimates on localized finite differences for the fractional Poisson problem, and applications to regularity and spectral stability. Commun. Math. Sci. 16 (2018), no. 4, 913–961, (preprint).

10. G. Canevari, A. Segatti, Defects in nematic shells: a $\Gamma$-convergence discrete-to-continuum approach. Arch. Ration. Mech. Anal. 229 (2018), no. 1, 125–186, (preprint).

11. S. Lisini, E. Mainini, A. Segatti, A gradient flow approach to the porous medium equation with fractional pressure. Arch. Ration. Mech. Anal. 227 (2018), no. 2, 567–606, (preprint).

12. E. Bonetti, F. Freddi, A. Segatti, An existence result for a model of complete damage in elastic materials with reversible evolution. Contin. Mech. Thermodyn. 29 (2017), no. 1, 31–50.

13. A. Segatti, M. Snarski, M. Veneroni,  Analysis of a variational model for nematic shells. Math. Models Methods Appl. Sci. 26 (2016), no. 10, 1865–1918, (preprint).

14. G. Akagi, G. Schimperna, A. Segatti, Fractional Cahn-Hilliard, Allen-Cahn and porous medium equations. J. Differential Equations 261 (2016), no. 6, 2935–2985, (preprint).

15. M. Bonforte, A. Segatti, J.L. Vazquez, Non-existence and instantaneous extinction of solutions for singular nonlinear fractional diffusion equations. Calc. Var. Partial Differential Equations 55 (2016), no. 3, Art. 68, 23 pp, (preprint).

16. G. Schimperna, A. Segatti, S. Zelik, On a singular heat equation with dynamic boundary conditions. Asymptot. Anal. 97 (2016), no. 1-2, 27–59, (preprint).

17. G. Canevari, A. Segatti, M. Veneroni, Morse's index formula in VMO for compact manifolds with boundary. J. Funct. Anal. 269 (2015), no. 10, 3043–3082, (preprint).

18. C. Kraus, E. Bonetti, C. Heinemann, A. Segatti, Modeling and analysis of a phase field system for damage and phase separation processes in solids. J. Differential Equations 258 (2015), no. 11, 3928–3959, (preprint).

19. A. Miranville, E. Rocca, G. Schimperna, A. Segatti, The Penrose-Fife phase-field model with coupled dynamic boundary conditions. Discrete Contin. Dyn. Syst. 34 (2014), no. 10, 4259–4290, (preprint).

20. A. Segatti, M. Snarski, M. Veneroni, Equilibrium configurations of nematic liquid crystals on a torus, Phys. Rev. E, (2014), E 90 012501, (preprint).

21. A. Segatti, A variational approach to gradient flows in metric spaces. Boll. Unione Mat. Ital. (9) 6 (2013), no. 3, 765–780.

22. G. Schimperna, A. Segatti, S. Zelik, Asymptotic uniform boundedness of energy solutions to the Penrose-Fife model. J. Evol. Equ. 12 (2012), no. 4, 863–890, (preprint).

23. L. Mazzieri, A. Segatti, Constant $\sigma_k$-curvature metrics with Delaunay type ends. Adv. Math. 229 (2012), no. 6, 3147–3191, (preprint).

24. 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), no. 23-24, 1225–1228.

25. A. Segatti, H. Wu, Finite dimensional reduction and convergence to equilibrium for incompressible smectic-A liquid crystal flows. SIAM J. Math. Anal. 43 (2011), no. 6, 2445–2481, (preprint).

26. R. Rossi, A. Segatti, U. Stefanelli, Global attractors for gradient flows in metric spaces. J. Math. Pures Appl. (9) 95 (2011), no. 2, 205–244, (preprint).

27. M. Herrmann, A. Segatti, Infinite harmonic chain with heavy mass. Commun. Pure Appl. Anal. 9 (2010), no. 1, 61–75. 

28. A. Segatti, S. Zelik, Finite-dimensional global and exponential attractors for the reaction-diffusion problem with an obstacle potential. Nonlinearity 22 (2009), no. 11, 2733–2760, (preprint).

29. M. Grasselli, G. Schimperna, A. Segatti, S. Zelik, On the 3D Cahn-Hilliard equation with inertial term. J. Evol. Equ. 9 (2009), no. 2, 371–404.

30. P. Colli, A. Segatti, Uniform attractors for a phase transition model coupling momentum balance and phase dynamics. Discrete Contin. Dyn. Syst. 22 (2008), no. 4, 909–932.

31. G. Schimperna, A. Segatti, Attractors for the semiflow associated with a class of doubly nonlinear parabolic equations. Asymptot. Anal. 56 (2008), no. 2, 61–86, (preprint).

32. R. Rossi, A. Segatti, U. Stefanelli, Attractors for gradient flows of nonconvex functionals and applications. Arch. Ration. Mech. Anal. 187 (2008), no. 1, 91–135, (preprint).

33. A. Segatti, On the hyperbolic relaxation of the Cahn-Hilliard equation in 3D: approximation and long time behaviour. Math. Models Methods Appl. Sci. 17 (2007), no. 3, 411–437.

34. G. Schimperna, A. Segatti, U. Stefanelli, Well-posedness and long-time behavior for a class of doubly nonlinear equations. Discrete Contin. Dyn. Syst. 18 (2007), no. 1, 15–38, (preprint).

35. A. Segatti, Global attractor for a class of doubly nonlinear abstract evolution equations. Discrete Contin. Dyn. Syst. 14 (2006), no. 4, 801–820. 

36. E. Bonetti, G. Schimperna, A. Segatti, On a doubly nonlinear model for the evolution of damaging in viscoelastic materials. J. Differential Equations 218 (2005), no. 1, 91–116.

37. A. Segatti, Error estimates for a variable time-step discretization of a phase transition model with hyperbolic momentum. Numer. Funct. Anal. Optim. 25 (2004), no. 5-6, 547–569.

38. A. Segatti, Analysis of a solid-solid phase change model coupling hyperbolic momentum balance and diffusive phase dynamics. Adv. Math. Sci. Appl. 14 (2004), no. 1, 327–349.

Preprints & submitted papers: 

1. N. De Nitti, S. Lisini, A. Segatti, R. Taranets, Existence and asymptotic behaviour of solutions for a multidimensional fractional thin film equation, arxiv: 2404.03633, (2024), (preprint).

Proceedings: 

1.  G. Canevari, A. Segatti, Variational analysis of nematic shells. Trends in applications of mathematics to mechanics, 81–102, Springer INdAM Ser., 27, Springer, Cham, 2018.

2. A. Segatti, Analysis of a variational model for nematic shells, Oberwolfach Report 57/2014, MFO Workshop 'Variational methods for evolution', (2014), 43--46.

3. A. Segatti, Elliptic regularization for gradient flows in metric spaces, Oberwolfach Report 55/2011, MFO Workshop 'Variational methods for evolution', (2011), 1:3178--3180. 

4. A. Segatti, S. Zelik, Finite dimensional reduction for a reaction diffusion problem with obstacle potential, RIMS Institute Kokyuroku Publication, no. 1693, (2010), 1-10.

5. A. Segatti, Global attractors for the quasi stationary phase field model: a gradient flow approach, Free Boundary problems, Vol. 154 International Series of Numerical Mathematics, Birkhauser (2007), 381-390.