Research and internships

Articles / Preprints

[1] Time quasi-periodic vortex patches for quasi-geostrophic shallow-water equations (with Taoufik Hmidi) To appear in Mémoires de la Société Mathématique de France (2026).
[2] Vortex rigid motion in quasi-geostrophic shallow-water equations Asymptotic Analysis 133 (2022), no. 3, 397–446.
[3] Boundary effects on the emergence of quasi-periodic solutions for Euler equations (with Zineb Hassainia) Nonlinearity 38 015016 (2025), no. 1, 81pp.
[4] Periodic and quasi-periodic Euler-alpha flows close to Rankine vortices Dynamics of Partial Differential Equations 20 (2023), no. 4, 311-366.
[5] Invariant KAM tori around annular vortex patches for 2D Euler equations (with Zineb Hassainia and Taoufik Hmidi) Communications in Mathematical Physics 405 (2024), no. 270, 1-127.
[6] Dynamics of vortex cap solutions on the rotating unit sphere (with Claudia Garcia and Zineb Hassainia) To appear in Journal of Differential Equations 417 (Feb. 2025), 1--63.
[7] Local and global bifurcation of electron-states To appear in Discrete and Continuous Dynamical Systems.
[8] Uniformly rotating vortices for the lake equation (with Taoufik Hmidi, Haroune Houamed and Mohamed Zerguine)
[9] Desingularization of time-periodic vortex motion in bounded domains via KAM tools (with Zineb Hassainia and Taoufik Hmidi)
[10] Steady vortex sheets in presence of surface tension (with Federico Murgante and Stefano Scrobogna)