Pubblications

Submitted papers:

1. 1. Steady vortex sheets in presence of surface tension

 (with E. Roulley and S. Scrobogna), ArXiv e-print, 2024

Published and accepted papers:

1. 2.  Long-time dynamics for the Kelvin-Helmholtz equations close to circular vortex sheets

(with E. Roulley and S. Scrobogna), Accepted in Archive for Rational Mechanics and Analysis, 2026, 71 pages

1. 3. One dimensional energy cascades in a fractional quasilinear NLS

 (with A. Maspero), Archive for Rational Mechanics and Analysis, 2025, 76 pages

1. 4. Quadratic lifespan for the sublinear α-SQG sharp front problem 

 (with R. Montalto and S. Scrobogna), Journal of Dynamics and Differential Equations, 2024, 31 pages

1. 5. On asymptotic stability on a center hypersurface at the soliton for even solutions of the NLKG                               

 (with S. Cuccagna, M. Maeda and S. Scrobogna), SIAM Journal on Mathematical Analysis, 2024, 28 pages 

1. 6. Hamiltonian Paradifferential Birkhoff Normal Form for Water-Waves                                                        

 (with M. Berti and A. Maspero), Regular and Chaotic Dynamics, 2023, 17 pages 

1. 7. Hamiltonian Birkhoff normal form for gravity-capillary water waves with constant vorticity: almost global existence 

 (with M. Berti and A. Maspero), Annals of PDE, 2024, 150 pages 

1. 8. Long-time stability of the quantum hydrodynamic system on irrational tori                                                                  

     (with R. Feola and F. Iandoli), Mathematics in Engineering, 2022, 24 pages

1. 9. Local well posedness of the Euler-Korteweg equations on T^d

 (with M. Berti and  A. Maspero), Journal of Dynamics and Differential Equations, 2021, 38 pages