Preprints

On the Dynamics of Point-Vortices with Positive Intensities collapsing with the boundary,
With Ludovic Godard-Cadillac and Dragoș Iftimie.
Links: arXiv

Dynamics of helical vortex filaments in non viscous incompressible flows,
With Christophe Lacave and Evelyne Miot.
Links: arXiv, HAL

Existence and Uniqueness for the SQG Vortex-Wave System when the Vorticity is Constant near the Point-Vortex,
With Dimitri Cobb and Ludovic Godard-Cadillac.
Links: arXiv, HAL

Publications

2024 - Construction of unstable concentrated solutions of the Euler and gSQG equations,
Discrete and Continuous Dynamical Systems, Early Access.
Links: Published article, arXiv

2023 - Hölder regularity for collapses of point vortices,
With Ludovic Godard-Cadillac, 2023 Nonlinearity 36 5773.
Links: Published article, arXiv

2022 - Two-dimensional point-vortex dynamics in bounded domains: global existence for almost every initial data,
SIAM J. Math. Anal., 54(1), 79-113.
Links: Published article, arXiv

• SIGEST Award: also published in SIAM Review 2023 65:1, 227-257; (DOI) in extended and revised form, under the title Improbability of collisions of point-vortices in bounded planar domains. "SIGEST highlights a recent paper from one of SIAM's specialized research journals, chosen on the basis of exceptional interest to the entire SIAM community and revised and condensed as needed for greater accessibility." Source.

2021 - Long time confinement of vorticity around a stable stationary point vortex in a bounded planar domain,
With Dragoș Iftimie, Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 38(5), 1461-1485.
Links: Published article, arXiv

Student Writings

Point-vortex collisions and confinement in bounded domains
2022, PhD Thesis, directed by Dragoș Iftimie, Institut Camille Jordan, Université Claude Bernard Lyon 1.

Confinement autour d'un point vortex stationnaire dans les domaines bornés de ℝ²
2018, 4 months internship for master degree of the ENS de Lyon, directed by Dragoș Iftimie, Institut Camille Jordan, Université Claude Bernard Lyon 1.

Théorème de Lévy-Cramér
2017, written for the Journal de Mathématiques des Élèves de l'ENS Lyon (Student journal of the Ens de Lyon).

Mouvement brownien, calcul d'Itô, et équations paraboliques
2017, 8 weeks internship, directed by Graham Carl, (Ecole Polytechnique, CNRS), at the Centre de Mathématiques Appliquées de l'école polytechnique (CMAP).

Théorème Central Limite, stabilité et principe de Lindeberg
2016, 6 weeks internship, directed by Julien Poisat and Emeric Bouin (CEREMADE, Paris Dauphine).