Publications

  Journal articles: 

1. 1. Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation, with Francesco Solombrino, Proceedings of the Royal Society Edinburgh, 1-35 (2023);

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

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

   4. 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);

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

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

   7. 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. Interacting phase fields yielding phase separation on surfaces, with Benjamin Lledos, and Heiner Olbermann, (2024);

2. A non-parametric Plateau problem with partial free boundary, with Giovanni Bellettini, and Riccardo Scala, (2022);

3. Γ- convergence for plane to wrinkles transition problem, with Peter Bella, (2023).

  Reports: 

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. Homogenization of compressible Navier-Stokes in critically perforated  domains, with Peter Bella, Friederike Lemming, and Florian Oschmann.