Research


(all files are preprint versions).

Published/Accepted Papers

  1. G. Akagi, A. Segatti, G. Schimperna
    Convergence of solutions for the fractional Cahn-Hilliard system,
    J. Funct. Anal., (2019), to appear. (PDF)
  2. G. Hrkac, C.M. Pfeiler, D. Praetorious, M. Ruggeri, A. Segatti,
    Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamic
    Adv. Comput. Math., (2019), to appear. (PDF)
  3. R. Rossi, G. Savaré, A. Segatti and U. Stefanelli
    Weighted Energy-Dissipation principle for gradient flows in metric spaces,
    J. Math. Pures Appl. (2018), to appear. (PDF)
  4. G. Canevari, A. Segatti
    Defects in Nematic Shells: a Gamma convergence discrete to continuum approach
    Arch. Ration. Mech. Anal. 229, no. 1, pp. 125--186, (2018). (PDF)
  5. S. Lisini, E. Mainini, A. Segatti
    A gradient flow approach to the porous medium equation with fractional pressure
    Arch. Ration. Mech. Anal. 227, no. 2, pp. 567--606, (2018). (PDF)
  6. G. Akagi, A. Segatti, L. Spinolo, G. Schimperna
    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. (PDF)
  7. E. Bonetti, F. Freddi, A. Segatti
    An existence result for complete damage in elastic materials,
    Contin. Mech. Thermodyn, vol 29, no. 1, pp 31-50. (2017). (PDF).
  8. M. Bonforte, A. Segatti, J. L. Vázquez,
    Non existence and instantaneous extinction of solutions for singular nonlinear fractional diffusion equations,
    Calc. Var. Partial Differential Equations, 55, pp. (2016) (PDF)
  9. G. Canevari, A. Segatti, M. Veneroni,
    Morse's index formula in VMO for compact manifolds with boundary,
    J. Funct. Anal. 269, pp. 3043-3082, (2015). (PDF)
  10. G. Akagi, G. Schimperna, A. Segatti,
    Fractional Cahn-Hilliard, Allen Cahn and Porous Medium Equations,
    J. Differential Equations 261, 2935-2985, (2016) (PDF)
  11. A. Segatti, M. Snarski, M. Veneroni,
    Anaysis of a variational model for nematic shells,
    Math. Models Methods Appl. Sci., no. 10, pp. 1865-1918, (2016). (PDF)
  12. A. Segatti, M. Snarski, M. Veneroni,
    Equilibrium configurations of nematic liquid crystals on a torus,
    Phys. Rev. E 90 012501 (2014) (PDF) .
  13. E. Bonetti, C. Heinemann, C. Kraus, A. Segatti,
    Modelling and analysis of a phase field system for damage and phase separation processes in solids,
    J. Differential Equations 258, pp. 3928-3959, 2015. (PDF)
  14. G.Schimperna, A. Segatti, S. Zelik,
    On a singular heat equation with dynamic boundary conditions,
    Asymptot. Anal., no. 1-2, pp. 27-59, (2016) (PDF)
  15. A. Segatti,
    A variational approach to gradient flows in metric spaces,
    Bollettino dell'Unione Matematica Italiana 6, pp. 765-780, 2013. (PDE)
  16. A. Miranville, E. Rocca, G. Schimperna and A. Segatti,
    The Penrose-Fife phase field model with coupled dynamic boundary conditions,
    Discrete Contin. Dyn. Syst. 34, 4259-4290, 2014 (PDF).
  17. G. Schimperna, A. Segatti and S. Zelik,
    Asymptotic uniform boundedness of energy solutions to the Penrose-Fife model,
    J.Evol. Equ. 12, pp. 863-890, 2012 (PDF).
  18. L. Mazzieri and A. Segatti
    Constant $\sigma_k$-curvature metrics with Delaunay ends,
    Adv. Math. 229, pp. 3147-3191, 2012 (PDF).
  19. R. Rossi, G. Savaré, A. Segatti and U. Stefanelli,
    A variational principle for gradient flows in metric spaces,
    C. R. Math. Acad. Sci. Paris. 349, pp.1224-1228, 2011 (PDF)
  20. A. Segatti and H. Wu,
    Finite dimensional reduction and convergence to equilibrium for incompressible Smectic-A liquid crystal flows,
    SIAM J. Math. Anal 43 pp. 2445--2481, no. 6, 2011 (PDF)
  21. R. Rossi, A. Segatti, and U. Stefanelli
    Global attractors for gradient flows in metric spaces,
    J. Math. Pures Appl. (9), 95 pp. 204--244, 2011 (PDF)
  22. M. Herrmann and A. Segatti
    Infinite harmonic chain with heavy mass,
    Commun. Pure Appl. Anal 9, pp. 61-75, 2010 (PDF)
  23. A. Segatti and S. Zelik
    Finite dimensional global and exponential attractors for a reaction diffusion equation with obstacle potential,
    Nonlinearity 22, pp. 2733-2760, 2009 (PDF)
  24. M. Grasselli, G. Schimperna, A. Segatti and S. Zelik
    On the 3D Cahn-Hilliard equation with inertial term,
    J. Evol. Equ. 9, pp. 371-404, 2009 (PDF)
  25. P. Colli and A. Segatti
    Uniform attractors for a phase transition model coupling momentum balance and phase dynamics,
    Discrete Contin. Dyn. Syst.A 22, pp. 909-932, 2008 (PDF)
  26. G. Schimperna and A. Segatti
    Attractors for the semiflow associated with a class of doubly nonlinear parabolic equations,
    Asymptotic. Anal. 56, pp. 61-86, 2008 (PDF)
  27. R. Rossi, A. Segatti and U. Stefanelli
    Attractors for gradient flows of nonconvex functionals and applications,
    Arch. Ration. Mech. Anal. 187, pp. 91-135, 2008 (PDF)
  28. A. Segatti
    On the hyperbolic relaxation of the Cahn Hilliard equation in 3D: approximation and long time beahaviour,
    Math. Models Methods Appl. Sci. 17, pp. 411-437, 2007 (PDF)
  29. 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, pp. 15-38, 2007 (PDF)
  30. A. Segatti
    Global attractors for a class of doubly nonlinear abstract parabolic equations,
    Discrete Contin. Dyn. Syst. 14, pp. 801-820, 2006 (PDF)
  31. E. Bonetti,G. Schimperna and A. Segatti
    On a doubly nonlinear model for the evolution of damage in viscoelastic materials,
    J. Differential Equations. 218, pp. 91-116, 2005 (PDF)
  32. A. Segatti
    Error estimates for a variable time step discretization of a phase transition model with hyperbolic momentum,
    Numer. funct. Anal. Optim. 25, pp. 547-569, 2004 (PDF)
  33. A. Segatti
    Analysis of a solid-solid phase change model couplig hyperbolic momentum balance and diffusive phase dynamics,
    Adv. Math. Sci. Appl. 14, pp. 327-349, 2004 (PDF)

Submitted Papers

  1. A. Segatti, J. L. Vázquez,
    On a Fractional Thin Film Equation,
    arXiv:1902.01264 (PDF)

Lecture Notes

  1. A. Segatti
    Variational Models for Nematic Shells,
    Lecture Notes for a PhD course at Universidad Autonoma, Madrid. (PDF)

Proceedings

  1. G. Canevari and A. Segatti,
    Variational Analysis of Nematic Shells,
    Trends in Applications of Mathematics to Mechanics, Springer Indamm Series, 27, (2018), 81--102.
  2. A. Segatti,
    Anaysis of a variational model for nematic shells,
    Oberwolfach Report, MFO Workshop 'Variational methods for evolution', (2015).
  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 and 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 quasistationary phase field model: a gradient flow approach,
    Free Boundary problems, pp.381-390, Internat. Ser. Numer. Math., 154 Birkauser, Basel 2007 (PDF) .

Last modification: 11 March. 2019 back to home