Regularisation by noise in ODEs and PDEs
(Stochastic) fluid dynamics equations
Rough paths
McKean-Vlasov equations and interacting particle systems
T. D. Drivas, L. Galeati, U. Pappalettera. Anomalous dissipation and regularization in isotropic Gaussian turbulence. https://arxiv.org/abs/2509.10211 (2025)
L. Anzeletti, L. Galeati, A. Richard, E. Tanré. On the density of singular SDEs with fractional noise and applications to McKean-Vlasov equations. https://arxiv.org/abs/2506.11900 (2025)
L. Galeati, J.-M. Leahy, T. Nilssen. On the well-posedness of (nonlinear) rough continuity equations. https://arxiv.org/abs/2502.04982 (2025)
L. Galeati, F. Grotto, M. Maurelli. Anomalous Regularization in Kraichnan's Passive Scalar Model. https://arxiv.org/abs/2407.16668 (2024)
L. Galeati, K. Lê, A. Mayorcas. Quantitative Propagation of Chaos for Singular Interacting Particle Systems Driven by Fractional Brownian Motion. https://arxiv.org/abs/2403.05454 (2024)
L. Galeati, D. Luo. Weak well-posedness by transport noise for a class of 2D fluid dynamics equations. J. Funct. Anal. Vol. 289 (12), 111158 (2025). https://doi.org/10.1016/j.jfa.2025.111158
M. Bagnara, L. Galeati, M. Maurelli. Regularization by rough Kraichnan noise for the generalised gSQG equations. Math. Annalen. (2025) https://doi.org/10.1007/s00208-025-03211-9
L. Galeati. Almost-everywhere uniqueness of Lagrangian trajectories for 3D Navier-Stokes revisited. J. Math. Pures Appl. Vol. 200, 103723 (2025). https://doi.org/10.1016/j.matpur.2025.103723
L. Galeati, M. Gerencsér. Solution theory of fractional SDEs in complete subcritical regimes. Forum Mathematics, Sigma. Vol. 13 , e12 (2025). https://doi.org/10.1017/fms.2024.136
L. Galeati, M. Gubinelli. Prevalence of ρ-irregularity and related properties. Ann. Inst. H. Poincaré Probab. Statist. 60 (4): 2415-2467 (2024). https://doi.org/10.1214/23-AIHP1399
L. Galeati. A note on weak existence for singular SDEs. Stoch. Dyn. 24 (3), 2450025 (2024). https://doi.org/10.1142/S0219493724500254
F. Flandoli, L. Galeati, D. Luo. Quantitative convergence rates for scaling limit of SPDEs with transport noise. J. Diff. Equ. 394, 237-277 (2024). https://doi.org/10.1016/j.jde.2024.02.053
L. Galeati, M. Gubinelli. Mixing for generic rough shear flows. SIAM J. Math. Anal. 55(6), 7240–7272 (2023). https://doi.org/10.1137/23M155222X
L. Galeati, D. Luo. LDP and CLT for SPDEs with transport noise. Stoch PDE: Anal Comp (2023). https://doi.org/10.1007/s40072-023-00292-y
L. Galeati, C. Ling. Stability estimates for singular SDEs and applications. Electron. J. Prob. 28, 1-31(2023). https://doi.org/10.1214/23-EJP913
L. Galeati, F.A. Harang. Regularization of multiplicative SDEs through additive noise. Ann. Appl. Probab. 32(5), 3930–3963 (2022). https://doi.org/10.1214/21-AAP1778
L. Galeati, F.A. Harang, A. Mayorcas. Distribution Dependent SDEs driven by additive fractional Brownian motion. Probab. Theory Relat. Fields (2022). https://doi.org/10.1007/s00440-022-01145-w
L. Galeati, F.A. Harang, A. Mayorcas. Distribution Dependent SDEs driven by additive continuous noise. Electron. J. Prob. 27, 1–38 (2022). https://doi.org/10.1214/22-EJP756
F. Flandoli, L. Galeati, D. Luo. Eddy heat exchange at the boundary under white noise turbulence. Philos. Trans. Royal Soc. A 380, Issue 2219 (2022). https://doi.org/10.1098/rsta.2021.0096
L. Galeati, M. Gubinelli. Noiseless regularisation by noise. Rev. Mat. Iberoam. 38(2), pp. 433–502 (2022). DOI:10.4171/RMI/1280
F. Flandoli, L. Galeati, D. Luo. Delayed blow-up by transport noise. Comm. PDEs 46(9), 1757–1788 (2021). https://doi.org/10.1080/03605302.2021.1893748
L. Galeati. Nonlinear Young Differential Equations: A Review. J. Dyn. Diff. Equ. (2021). https://doi.org/10.1007/s10884-021-09952-w
F. Flandoli, L. Galeati, D. Luo. Scaling limit of stochastic 2D Euler equations with transport noises to the deterministic Navier–Stokes equations. J. Evol. Equ. 21, 567–600 (2021). https://doi.org/10.1007/s00028-020-00592-z
L. Galeati. On the convergence of stochastic transport equations to a deterministic parabolic one. Stoch PDE: Anal Comp 8, 833–868 (2020). https://doi.org/10.1007/s40072-019-00162-6
L. Galeati. Scaling Limit of 2D Euler to Navier-Stokes. In: Stochastic Geophysical Fluid Dynamics. Oberwolfach Seminars, vol 55. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-90679-4_2