Research
(all files are preprint versions).
Published/Accepted Papers
- G. Akagi, A. Segatti, G. Schimperna
Convergence of solutions for the fractional Cahn-Hilliard system,
J. Funct. Anal., (2019), to appear.
(PDF)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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).
- 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)
- 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)
- G. Akagi, G. Schimperna, A. Segatti,
Fractional Cahn-Hilliard, Allen Cahn and Porous Medium Equations,
J. Differential Equations 261, 2935-2985, (2016)
(PDF)
- 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)
- A. Segatti, M. Snarski, M. Veneroni,
Equilibrium configurations of nematic liquid crystals on a torus,
Phys. Rev. E 90 012501 (2014)
(PDF) .
- 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)
- 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)
- A. Segatti,
A variational approach to gradient flows in
metric spaces,
Bollettino dell'Unione Matematica Italiana 6, pp. 765-780, 2013.
(PDE)
- 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).
- 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).
- L. Mazzieri and A. Segatti
Constant $\sigma_k$-curvature metrics with Delaunay ends,
Adv. Math. 229, pp. 3147-3191, 2012
(PDF).
- 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)
- 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)
- 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)
- M. Herrmann and A. Segatti
Infinite harmonic chain with heavy mass, Commun. Pure Appl. Anal 9, pp. 61-75, 2010
(PDF)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- 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)
- A. Segatti
Global attractors for a class of doubly nonlinear abstract parabolic equations, Discrete Contin. Dyn. Syst. 14, pp. 801-820, 2006
(PDF)
- 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)
- 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)
- 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
- A. Segatti, J. L. Vázquez,
On a Fractional Thin Film Equation,
arXiv:1902.01264
(PDF)
Lecture Notes
- A. Segatti
Variational Models for Nematic Shells,
Lecture Notes for a PhD course at Universidad Autonoma, Madrid.
(PDF)
Proceedings
- G. Canevari and A. Segatti,
Variational Analysis of Nematic Shells,
Trends in Applications of Mathematics to Mechanics,
Springer Indamm Series, 27, (2018), 81--102.
- A. Segatti,
Anaysis of a variational model for nematic shells,
Oberwolfach Report, MFO Workshop 'Variational methods for evolution', (2015).
- A. Segatti
Elliptic regularization for gradient flows in metric spaces,
Oberwolfach Report 55/2011, MFO Workshop 'Variational methods for evolution', (2011), 1:3178--3180.
- 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.
- 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) .
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