Publications

  Journal articles: 

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

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

   3. 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);

   4. 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;

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

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

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

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

   9. 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);

   10. 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. 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;

2. Existence of jump minimizing liftings for 𝕊^1-valued maps and connections to Ambrosio-Tortorelli-type Γ-limits, with Giovanni Bellettini and Riccardo Scala; 

 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.