2026

C. De Lellis, M.-Y. Chang, and S. Mayboroda, “Level sets of fractional Sobolev functions,” arXiv preprint arXiv:2607.03342, 2026. arXiv:2607.03342

M. Engelstein, M. Filoche, and S. Mayboroda, “What is … Robin harmonic measure?,” arXiv preprint arXiv:2605.07436, 2026.

A. A. Kalout, P. Tejerina-Pérez, K. Karchev, P. Tarancón-Álvarez, L. Sarieddine, R. Jimenez, M. Engelstein, and G. David, “Recovering sharp conductivity features in the finite-data Calderón problem with physics-informed neural networks,” arXiv preprint arXiv:2606.28158, 2026.

M.-Y. Chang, "A Hölder estimate for the trajectories of the Navier-Stokes equations," arXiv preprint arXiv:2605.22006, 2026.

M. Bagnara, D. W. Boutros, C. De Lellis, and S. Mayboroda, "Regularity thresholds for anomalous dissipation and related phenomena in passive scalars," arXiv:2603.11466, 2026. [Online]. Available: https://arxiv.org/abs/2603.11466

D. W. Boutros and S. Markfelder, “Non-uniqueness of global-in-time admissible weak solutions to the isentropic compressible Euler equations for a dense set of initial data,” arXiv preprint arXiv:2606.14308, 2026

D. W. Boutros, S. Markfelder, and E. S. Titi, “A generalized framework for  convex integration and its application to geophysical models,” arXiv preprint arXiv:2606.12192, 2026

D. W. Boutros, K. V. Kiran, J. D. Gibbon, and R. Pandit, “The global attractor of the Toner-Tu-Swift-Hohenberg equations of active turbulence and its properties,” arXiv preprint arXiv:2601.18233, 2026

2025

M. Engelstein, I. Kim, and S. Munoz, “Regularity of the free boundary for the supercooled Stefan problem in arbitrary dimensions,” arXiv preprint arXiv:2512.10136, 2025

E. Bruè and C. De Lellis, "Some rigorous remarks on Migdal's momentum loop equation," arXiv:2509.18992, 2025. [Online]. Available: https://arxiv.org/abs/2509.18992

C. De Lellis, J. Hirsch, and L. Spolaor, "Stationary and stable varifolds with singularities," arXiv:2509.21508, 2025. [Online]. Available: https://arxiv.org/abs/2509.21508

S. Mayboroda and A. Pacati, "Robin harmonic measure with a variable permeability parameter," arXiv:2510.22354, 2025. [Online]. Available: https://arxiv.org/abs/2510.22354

M. Engelstein, D. Restrepo, and Z. Zhao, "On the asymptotic properties of solutions to one-phase free boundary problems," arXiv:2511.08393, 2025. [Online]. Available: https://arxiv.org/abs/2511.08393

K. Karchev, R. Trotta, and R. Jimenez, "CIGaRS I: Combined simulation-based inference from SNae Ia and host photometry," arXiv:2508.15899, 2025. [Online]. Available: https://arxiv.org/abs/2508.15899