Publications and preprints

1. Another regularizing property of the 2D eikonal equation. (with X. Lamy and A. Lorent) Preprint, arXiv:2504.20933.

2. Nonexistence of a class of T_N configurations for a hyperbolic system with one entropy. (with A. Vuolo) Preprint, arXiv:2411.05637.

3. On regularity and rigidity of 2×2 differential inclusions into non-elliptic curves. (with X. Lamy and A. Lorent) Preprint, arXiv:2404.02121.

4. Quantitative rigidity of differential inclusions in two dimensions. (with X. Lamy and A. Lorent) Int. Math. Res. Not. IMRN (2024), no. 8, 6325–6349.

5. On optimal regularity estimates for finite-entropy solutions of scalar conservation laws. (with X. Lamy and A. Lorent) C. R. Math. Acad. Sci. Paris, 361 (2023), 599–608.

6. On a generalized Aviles-Giga functional: compactness, zero-energy states, regularity estimates and energy bounds. (with X. Lamy and A. Lorent) Comm. Partial Differential Equations, 47 (2022), no. 11, 2270–2308.

7. Factorization for entropy production of the Eikonal equation and regularity. (with A. Lorent) Indiana Univ. Math. J., 72 (2023), no. 3, 1055–1105.

8. On the Rank-1 convex hull of a set arising from a hyperbolic system of Lagrangian elasticity. (with A. Lorent) Calc. Var. Partial Differential Equations, 59 (2020), no. 5, Paper No. 156, 36 pp. 

9. Rigidity of a non-elliptic differential inclusion related to the Aviles-Giga conjecture. (with X. Lamy and A. Lorent) Arch. Ration. Mech. Anal., 238 (2020), no. 1, 383–413.

10. First critical field of highly anisotropic three-dimensional superconductors via a vortex density model. (with A. Contreras) SIAM J. Math. Anal., 51 (2019), no. 6, 4490–4519.

11. Null Lagrangian measures in subspaces, compensated compactness and conservation laws. (with A. Lorent) Arch. Ration. Mech. Anal., 234 (2019), no. 2, 857–910.

12. Analysis of minimizers of the Lawrence-Doniach energy for superconductors in applied fields. (with P. Bauman) Discrete Contin. Dyn. Syst. Ser. B, 24 (2019), no. 11, 5903–5926. 

13. Bounded solutions for a class of Hamiltonian systems. (with P. Korman) Electron. J. Qual. Theory Differ. Equ., (2018), Paper No. 81, 7 pp.

14. Regularity of the Eikonal equation with two vanishing entropies. (with A. Lorent) Ann. Inst. H. Poincaré Anal. Non Linéaire, 35 (2018), no. 2, 481–516.

15. Convergence of the Lawrence-Doniach energy for layered superconductors with magnetic fields near H_{c1}. SIAM J. Math. Anal., 49 (2017), no. 2, 1225–1266.

Thesis

• Analysis of superconductivity models in magnetic fields. Ph.D. thesis, Purdue University, August 2014.