Publications

  Journal articles: 

1. 1. Existence of jump minimizing liftings for 𝕊^1-valued maps and connections to Ambrosio-Tortorelli-type Γ-limits, with Giovanni Bellettini and Riccardo Scala, accepted for publication in Journal de Mathématiques Pures et Appliquées.

   2. Interacting phase fields yielding phase separation on surfaces, with Benjamin Lledos, and Heiner Olbermann, SIAM J. Math. Anal. 57(3) (2025);

   3. Γ- convergence for plane to wrinkles transition problem, with Peter Bella, J Nonlinear Sci 35, 23 (2025).

   4. A non-parametric Plateau problem with partial free boundary, with Giovanni Bellettini, and Riccardo Scala, Journal de l'École polytechnique — Mathématiques, Volume 11, pp. 1035-1098.(2024);

   5. Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation, with Francesco Solombrino, Proceedings of the Royal Society Edinburgh: Section A mathematics. (2024); 154(4): 1060-1094;

   6. Line-tension limits for line singularities and application to the mixed-growth case, with Sergio Conti, and Adriana Garroni, Calc. Var. 62, 228 (2023);

   7. Γ-convergence and stochastic homogenisation of phase-transition functionals, ESAIM: Control Optim. Calc. Var. 29 (2023) 44;

   8. Gradient damage models for heterogeneous materials, with Annika Bach, Teresa Esposito, and Caterina Ida Zeppieri, SIAM J. Math. Anal., 55, 4 (2023);

   9. Γ-convergence and stochastic homogenisation of singularly-perturbed elliptic functionals, with Annika Bach, and Caterina Ida Zeppieri, Calc. Var. 62, 199 (2023);

   10. Interaction between oscillations and singular perturbations in a one-dimensional phase-field model, with Annika Bach, Teresa Esposito, and Caterina Ida Zeppieri,  AWM Volume - Research in the Mathematics of Materials Science (2022);

   11. Derivation of a Line-Tension Model for Dislocations from a Nonlinear Three-Dimensional Energy: The Case of Quadratic Growth, with Adriana Garroni, and Riccardo Scala, SIAM J. Math. Anal., 53(4), 4252- 4302 (2021).

 Preprints: 

1. Wrinkling in the Lamé problem: a Γ-convergence approach (2026);

2. Γ-convergence of free discontinuity problems for circle-valued maps in the linear regime, with Giovanni Bellettini and Riccardo Scala (2026);

3. Brinkman's law as Γ-limit of compressible low Mach Navier-Stokes equations and applications to randomly perforated domains, with Peter Bella, Friederike Lemming, and Florian Oschmann (2025);

 Reports: 

1. Construction of correctors with Mikhail Cherdantsev, Oberwolfach workshop Report 2022, 48.

  Phd thesis: 

Phd Thesis: Asymptotic analysis of nonlinear models for line defects in materials (2020).

 In preparation:

1. Asymptotic analysis of  3D nonlinear elastic models for line dislocations in the critical regime, with Martino Fortuna and Adriana Garroni.