2026

S. Mayboroda and A. Pacati, “Elliptic theory and dimension drop for operators with divergence-free form-bounded drifts in one-sided chord-arc domains,” arXiv preprint arXiv:2610.19983, 2026. [Online]. Available: https://arxiv.org/abs/2610.19983

A. Barton, S. Mayboroda, and A. Pacati, “The Dirichlet problem with boundary data of fractional smoothness in domains with Ahlfors regular boundary,” arXiv preprint arXiv:2610.07225, 2026. [Online]. Available: https://arxiv.org/abs/2610.07225

S. Mayboroda, D. N. Spergel, and C. De Lellis, “Scalar Dissipation Criticality in Compressible Magnetized Turbulence,” arXiv preprint arXiv:2609.23177, 2026. [Online]. Available: https://arxiv.org/abs/2609.23177

R. Jimenez, S. Mayboroda, P. Protopapas, L. Sarieddine, D. N. Spergel, and P. Tarancón-Álvarez, “Physics-informed neural embeddings of PDE solution families,” arXiv preprint arXiv:2607.06348, 2026. [Online]. Available: https://arxiv.org/abs/2607.06348

G. Braga and R. Jimenez, “Gravitational-wave lensing beyond the diffraction integral: Proper-time methods and the bound lens,” arXiv preprint arXiv:2611.05152, 2026. [Online]. Available: https://arxiv.org/abs/2611.05152

K. Karchev, M. Giunta, R. Jimenez, R. Trotta, and L. Verde, “ECH0EZ: Estimating the Hubble constant with ZTF SN Ia DR2,” arXiv preprint arXiv:2610.36051, 2026. [Online]. Available: https://arxiv.org/abs/2610.36051

R. Jimenez, D. Bertacca, M. Abdelaziz, S. Matarrese, A. Ricciardone, and M. Traforetti, “Origin of the red spectral tilt in inflation without an inflaton,” arXiv preprint arXiv:2610.20378, 2026. [Online]. Available: https://arxiv.org/abs/2610.20378

R. Mohapatra, L. Lancaster, D. Fielding, E. Quataert, and G. L. Bryan, “How magnetic fields regulate cooling and mixing in turbulent radiative mixing layers,” arXiv preprint arXiv:2609.29782, 2026. [Online]. Available: https://arxiv.org/abs/2609.29782

Z. Chen, S. P. Oh, D. B. Fielding, L. Lancaster, Y. Li, and B. Tan, “Clumps in a cocoon: Geometry and mixing set the universal X-ray to Hα surface brightness ratio,” arXiv preprint arXiv:2606.07741, 2026. [Online]. Available: https://arxiv.org/abs/2606.07741

L. Lancaster, D. B. Fielding, R. Mohapatra, and G. L. Bryan, “The origin of Da scaling: Suppressed cooling in fast-cooling mixing layers,” arXiv preprint arXiv:2606.04093, 2026. [Online]. Available: https://arxiv.org/abs/2606.04093

L. Lancaster, R. Mohapatra, D. B. Fielding, and G. L. Bryan, “Ceci n'est pas une couche de mélange: The meaning of resolved turbulent radiative mixing,” arXiv preprint arXiv:2606.04087, 2026. [Online]. Available: https://arxiv.org/abs/2606.04087

V. Pandya et al., “Introducing sapphire: Towards hybrid physics-informed, data-driven modeling of galaxy formation,” arXiv preprint arXiv:2604.06318, 2026. [Online]. Available: https://arxiv.org/abs/2604.06318

K. Karchev, R. Trotta, and R. Jiménez, “CIGaRS I: Combined simulation-based inference from type Ia supernovae and host photometry,” Nature Astronomy, vol. 10, no. 7, pp. 1057–1072, 2026, doi: 10.1038/s41550-026-02842-5.

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