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) Ann. Inst. H. Poincaré Anal. Non Linéaire, (2025), published online first. DOI: 10.4171/AIHPC/167

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. DOI: 10.1093/imrn/rnad108

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. DOI: 10.5802/crmath.427

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. DOI: 10.1080/03605302.2022.2118609

7. Factorization for entropy production of the Eikonal equation and regularity. (with A. Lorent) Indiana Univ. Math. J., 72 (2023), no. 3, 1055–1105. DOI: 10.1512/iumj.2023.72.9394

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. DOI: 10.1007/s00526-020-01805-6

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. DOI: 10.1007/s00205-020-01545-z

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. DOI: 10.1137/19M1237521

11. Null Lagrangian measures in subspaces, compensated compactness and conservation laws. (with A. Lorent) Arch. Ration. Mech. Anal., 234 (2019), no. 2, 857–910. DOI: 10.1007/s00205-019-01403-7

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. DOI: 10.3934/dcdsb.2019112

13. Bounded solutions for a class of Hamiltonian systems. (with P. Korman) Electron. J. Qual. Theory Differ. Equ., (2018), Paper No. 81, 7 pp. DOI: 10.14232/ejqtde.2018.1.81

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. DOI: 10.1016/J.ANIHPC.2017.06.002

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. DOI: 10.1137/16M1064398

Thesis

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