Abels, H., Marveggio, A. , Poiatti, A. (2025), Well-posedness and sharp interface limit of a non-isothermal Navier-Stokes/Allen-Cahn model, submitted, arXiv:2511.11892.
Grasselli. M., Poiatti, A. (2025), Convergence to equilibrium of weak solutions to the Cahn--Hilliard equation with non-degenerate mobility and singular potential, submitted, arXiv:2510.17296.
Gal, C.G., Grasselli, M., Poiatti, A., Shomberg, J.L. (2025), Nonlocal coupling and mobility constraints in multi-component phase segregation: modeling, theory, and dynamics, submitted, Researchgate doi: https://doi.org/10.13140/RG.2.2.36014.98889.
Poiatti, A. (2025), Varifold solutions to Volume-Preserving Mean Curvature Flow: existence and weak-strong uniqueness, submitted, arXiv:2507.08783.
Abels, H., Poiatti, A. (2025), Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities, submitted, arXiv:2505.06423.
Poiatti, A., Stefanelli, U. (2024), Long-Time behavior of the tangential surface Navier-Stokes equation, submitted, arXiv:2412.05902.
Gal, C.G., Grasselli, M., Poiatti, A., Shomberg, J.L. (2024), Multi-component Cahn-Hilliard systems with singular potentials: numerical results and cascading phenomena, submitted, Researchgate doi: http://dx.doi.org/10.13140/RG.2.2.12188.09601.
Abels, H., Garcke, H., Poiatti, A. (2024), Diffuse Interface Model for Two-Phase Flows on Evolving Surfaces with Different Densities: Local Well-Posedness, to appear in J. Evol. Equ., arXiv:2407.14941.
Caetano, D., Elliott, C.M., Grasselli, M., Poiatti, A. (2024), Multi-component phase separation and small deformations of a spherical biomembrane, to appear in Cal. Var. Partial Differential Equations, arXiv:2410.05492.
Elbar, C., Poiatti, A. (2025), Weak solutions and sharp interface limit of the anisotropic Cahn-Hilliard equation with disparate mobility and inhomogeneous potential, to appear in Interfaces Free Bound., arXiv:2502.11849 .
Abels, H., Garcke, H., Poiatti, A. (2025), Diffuse Interface Model for Two-Phase Flows on Evolving Surfaces with Different Densities: Global Well-Posedness, Calc. Var. Partial Differential Equations 64, 141, https://doi.org/10.1007/s00526-025-03001-w.
Parolini, N., Poiatti, A., Vené, J., Verani, M. (2025), Structure-preserving neural networks in data-driven rheological models, SIAM J. Sci. Comput. 47(1), C182-C206, https://doi.org/10.1137/24M163109.
Hurm, C., Knopf, P., Poiatti, A. (2024), Nonlocal-to-local convergence rates for strong solutions to a Navier-Stokes-Cahn-Hilliard system with singular potential, Comm. Partial Differential Equations 49(9), 832–871, https://doi.org/10.1080/03605302.2024.2401445.