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)
[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
[7]
Local and global bifurcation of electron-states
[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)
PhD
Structures quasi-periodiques pour des modèles de transport non-linéaires issus de la mécanique des fluides
Internships
M2 :
Théorie KAM et EDP : solutions quasi-périodiques
M2 :
Espaces de Besov et EDP d'évolution
M1 :
Analyse harmonique dyadique
L3 :
Théorème de Banach-Stone et groupes compacts