gianluca orlando
cv
research
didattica

research interests

  • Calculus of Variations
  • \(\Gamma\)-convergence and semicontinuity problems
  • Applications to Fracture Mechanics and Materials Science
  • Variational analysis of discrete spin systems
  • Mean-field description of discrete systems

publications

All the preprint versions of my publications are available on my cvgmt or arXiv profiles.

  1. G. Dal Maso, G. Orlando, R. Toader. Laplace equation in a domain with a rectilinear crack: higher order derivatives of the energy with respect to the crack length. NoDEA Nonlinear Differential Equations Appl. 22 (2015), 449–476
  2. G. Dal Maso, G. Orlando, R. Toader. Fracture models for elasto-plastic materials as limits of gradient damage models coupled with plasticity: the antiplane case. Calc. Var. Partial Differential Equations 55 (2016), Article no. 45
  3. G. Dal Maso, G. Orlando, R. Toader. Lower semicontinuity of a class of integral functionals on the space of functions of bounded deformation. Adv. Calc. Var. 10 (2017), 183–207
  4. V. Crismale, G. Lazzaroni, G. Orlando. Cohesive fracture with irreversibility: quasistatic evolution for a model subject to fatigue. Math. Models Methods Appl. Sci. 28 (2018), 1371–1412
  5. V. Crismale, G. Orlando. A Reshetnyak-type lower semicontinuity result for linearised elasto-plasticity coupled with damage in \(W^{1,n}\). NoDEA Nonlinear differential Equations Appl. 25 (2018), Article no. 16
  6. R. Alessi, V. Crismale, G. Orlando. Fatigue effects in elastic materials with variational damage models: A vanishing viscosity approach. J. Nonlinear Sci. 29 (2019), 1041–1094
  7. M. Cicalese, M. Forster, G. Orlando. Variational Analysis of a Two-Dimensional Frustrated Spin System: Emergence and Rigidity of Chirality Transitions. SIAM J. Math. Anal. 51 (2019), 4848–4893
  8. V. Crismale, G. Orlando. A lower semicontinuity result for linearised elasto-plasticity coupled with damage in \(W^{1,\gamma}\), \(\gamma > 1\). Mathematics in Engineering 2 (2020), 101–118
  9. A. Bach, M. Cicalese, L. Kreutz, G. Orlando. The antiferromagnetic XY model on the triangular lattice: chirality transitions at the surface scaling. Calculus of Variations and Partial Differential Equations 60 (2021), Article no. 149
  10. M. Cicalese, G. Orlando, M. Ruf. Coarse graining and large-N behavior of the d-dimensional N-clock model. Interfaces Free Bound. 23 (2021), 323–351
  11. M. Cicalese, G. Orlando, M. Ruf. Emergence of concentration effects in the variational analysis of the N-clock model. Comm. Pure Appl. Math. 75 (2022), 2279-2342.
  12. A. Bach, M. Cicalese, L. Kreutz, G. Orlando. The antiferromagnetic XY model on the triangular lattice: topological singularities. Indiana Univ. Mat. J. 71 (2022), 2411-2475.
  13. M. Cicalese, G. Orlando, M. Ruf. A classical \(S^2\)-spin system with discrete out-of-plane anisotropy: variational analysis at surface and vortex scalings. Nonlinear Analysis (2022), Article no. 112929.
  14. M. Cicalese, G. Orlando, M. Ruf. The N-clock model: Variational analysis for fast and slow divergence rates of N. Arch. Ration. Mech. Anal. 245 (2022), 1135–1196.
  15. M. Cicalese, M. Forster, G. Orlando. Variational analysis of the \(J_1\)-\(J_2\)-\(J_3\) model: a non-linear lattice version of the Aviles-Giga functional. Arch. Ration. Mech. Anal. 245 (2022), 1059–1133.
  16. G. Orlando. Mean-field optimal control in a multi-agent interaction model for prevention of maritime crime. Adv Cont Discr Mod 2023, 24 (2023).
  17. G.M. Coclite, N. De Nitti, F. Maddalena, G. Orlando, E. Zuazua. Exponential convergence to steady-states for trajectories of a damped dynamical system modelling adhesive strings. Math. Models Methods Appl. Sci. 34 (2024), 1445-1482.

preprints

  1. A. Bach, M. Cicalese, A. Garroni, G. Orlando. Stacking faults in the limit of a discrete model for partial edge dislocations. Preprint (2024).
  2. G.M. Coclite, S. Dipierro, F. Maddalena, G. Orlando, E. Valdinoci. Comparison between solutions to the linear peridynamics model and solutions to the classical wave equation. Preprint (2024).
  3. M. Morandotti, G. Orlando. Replicator dynamics as the large population limit of a discrete Moran process in the weak selection regime: A proof via Eulerian specification. Preprint (2025).

All the preprints are available on my cvgmt or arXiv profiles.

collaborators

Roberto Alessi, Annika Bach, Marco Cicalese, Giuseppe Maria Coclite, Vito Crismale, Gianni Dal Maso, Nicola De Nitti, Serena Dipierro, Marwin Forster, Adriana Garroni, Leonard Kreutz, Giuliano Lazzaroni, Francesco Maddalena, Marco Morandotti, Matthias Ruf, Rodica Toader, Enrico Valdinoci, Enrique Zuazua.