Papers

1. S. Almi and M. Degiovanni, On degree theory for quasilinear elliptic equations with natural growth conditions, in Recent Trends in Nonlinear Partial Differential Equations II: Stationary Problems, J. B. Serrin, E. L. Mitidieri and V. D. Radulescu eds., 1--20, Contemporary Mathematics, 595, Amer. Math. Soc., Providence, R.I., 2013.
2. S.Almi, G. Dal Maso, and R. Toader, Quasi-static crack growth in hydraulic fracture, Nonlinear Anal., 109 (2014), pp. 301-318.
3. S. Almi, Energy release rate and quasi-static evolution via vanishing viscosity in a fracture model depending on the crack opening, ESAIM COCV, 23(3) (2017), pp. 791-826.
4. S. Almi, G. Dal Maso, and R. Toader, A lower semicontinuity result for a free discontinuity functional with a boundary term, J. Math. Pures et Appl., 108(6) (2017), pp. 952-990.
5. S. Almi, Quasi-static hydraulic crack growth driven by Darcy's law, Adv. Calc. Var.,11(2) (2018), pp. 161-191.
6. S. Almi and S. Belz, Consistent finite-dimensional approximation of phase-field models of fracture, Ann. Mat. Pura Appl., 198(4) (2019), pp. 1191-1225.
7. S. Almi, S. Belz, and M. Negri, Convergence of discrete and continuous unilateral flows for Ambrosio-Tortorelli energies and application to mechanics, ESAIM M2AN, 53(2) (2018), pp. 659-699.
8. S. Almi and I. Lucardesi, Energy release rate and stress intensity factors in planar elasticity in presence of smooth cracks, NoDEA, 25(5), (2018), pp. 25-43.
9. S. Almi and M. Negri, Analysis of staggered evolutions for nonlinear energies in phase field fracture, Arch. Ration. Mech. Anal., 236 (1), (2020), pp. 189-252.
10. S. Almi, G. Lazzaroni, and I. Lucardesi, Crack growth by vanishing viscosity in planar elasticity, Mathematics in Engineering, (2020), 2(1), pp. 141-173.
11. S. Almi, Irreversibility and alternate minimization in phase field fracture: a viscosity approach, Zeitschrift für Angewandte Mathematik und Physik, 71, article number 128 (2020).
12. S. Almi, M. Fornasier, and R. Huber, Data-driven evolutions of critical points, Foundations of Data Science, doi: 10.3934/fods.2020011.
13. S. Almi and U. Stefanelli, Topology optimization for incremental elastoplasticity, SIAM J. Control Optim., 59(1) (2021), pp. 339-364
14. S. Almi, S. Belz, S. Micheletti, and S. Perotto, A dimension-reduction model for brittle fractures on thin shells with mesh adaptivity, Math. Models Methods Appl. Sci., 31 (2021), pp. 37-81.
15. S. Almi, M. Morandotti, and F. Solombrino, An alternate Lagrangian scheme for spatially inhomogeneous evolutionary games, J. Evol. Eq. (2021).
16. S. Almi and E. Tasso, Brittle fracture in linearly elastic plates, Preprint arXiv.
17. S. Almi and U. Stefanelli, Topology optimization for quasistatic elastoplasticity, Preprint arXiv.
18. S. Almi and E. Tasso, A new proof of compactness in G(S)BD, Preprint arXiv.
19. G. Albi, S. Almi, M. Morandotti, and F. Solombrino, Mean field selective optimal control via transient leadership, Preprint arXiv.

Theses

1. Bachelor Thesis: Coarea Formula.
2. Master Thesis: On degree theory for quasilinear elliptic equations with natural growth conditions, Italian.
3. Ph.D. Thesis: Some results on the mathematical analysis of crack problems with forces applied on the fracture lips.