Research

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Articles

[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). [230 pages]
[2] Vortex rigid motion in quasi-geostrophic shallow-water equations Asymptotic Analysis 133 (2022), no. 3, 397–446. [50 pages]
[3] Boundary effects on the emergence of quasi-periodic solutions for Euler equations (with Zineb Hassainia) Nonlinearity 38 015016 (2025), no. 1. [81 pages]
[4] Periodic and quasi-periodic Euler-alpha flows close to Rankine vortices Dynamics of Partial Differential Equations 20 (2023), no. 4, 311-366. [56 pages]
[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. [127 pages]
[6] Dynamics of vortex cap solutions on the rotating unit sphere (with Claudia García and Zineb Hassainia) Journal of Differential Equations 417 (2025). [63 pages]
[7] Local and global bifurcation of electron-states Discrete and Continuous Dynamical Systems 45 (2025), no. 8, 2381--2419. [39 pages]
[8] Uniformly rotating vortices for the lake equation (with Taoufik Hmidi, Haroune Houamed and Mohamed Zerguine) Mathematische Annalen 392 (2025), 3065–3160. [96 pages]
[9] Desingularization of time-periodic vortex motion in bounded domains via KAM tools (with Zineb Hassainia and Taoufik Hmidi) To appear in Journal of the European Mathematical Society. [78 pages, preprint]
[10] Steady vortex sheets in presence of surface tension (with Federico Murgante and Stefano Scrobogna) Journal of Mathematical Fluid Mechanics 28 (2026), no. 70. [22 pages]
[11] Long-time dynamics for the Kelvin-Helmholtz equations close to circular vorticity distributions (with Federico Murgante and Stefano Scrobogna) Archive for Rational Mechanics and Analysis 250 (2026), no. 32. [94 pages]

Preprints

[12] Filamentation near monotone zonal vortex caps (with Gian Marco Marin) [17 pages, preprint]
[13] Ions-electrons-states for the two-component Vlasov-Poisson equation [25 pages, preprint]
[14] Confinement results near point vortices on the rotating sphere (with Martin Donati) [46 pages, preprint]
[15] Quasi-periodic traveling electron layers (with Luca Franzoi) [81 pages, preprint]
[16] On stationary Quasi-Geostrophic Shallow-Water flows (with Vittorio Baroncini and Claudia García) [42 pages, preprint]
[17] Singular contour dynamics and paradifferential reduction (with Xingyu Li and Stefano Scrobogna) [201 pages, preprint]

PhD

Structures quasi-periodiques pour des modèles de transport non-linéaires issus de la mécanique des fluides

Internships