About me

My doctoral research focuses on free boundary problems for models describing the flow of fluid mixtures. The constituents are assumed to be immiscible (for instance, gas bubbles in a liquid) and are separated by one or more interfaces of zero thickness. The objective is to investigate the persistance of interface regularity over time; this involves, in particular, establishing well-posedness of the underlying models. I employ Hoff-type energy estimates together with Lagrangian changes of variables and harmonic analysis tools.

Currently, I study a fluid–structure interaction model, and the regularity of Lagrangian trajectories for solutions of the incompressible Euler equations. Both projects draw on Littlewood–Paley theory and microlocal analysis.

• 4

  Global-in-time Discontinuous Solutions for the Two-Phase Model of Compressible Fluids with Density-Dependent Viscosity, 2025.

  Submitted

  ArXiv · HAL

• 3

  A well-posedness result for the compressible two-fluid model with density-dependent viscosity, 2025.

  J. Math. Fluid Mech.

  Journal · ArXiv · HAL
• 2

  Global-in-time well-posedness of the compressible Navier–Stokes equations with striated density, 2025.

  Rev. Mat. Iberoam. (with X. Liao).

  Journal · ArXiv · HAL
• 1

  Discontinuous solutions for the Navier–Stokes equations with density-dependent viscosity, 2024.

  Ann. Inst. H. Poincaré C.

  Journal · ArXiv · HAL

• 4

  PhD thesis: Qualitative study of the interface between two compressible immiscible fluids, 2025.

  IMJ-PRG, Université Paris Cité.

  HAL

  Supervisors: Cosmin Burtea, David Gérard-Varet · Advisor: Helge Dietert
• 3

  Master thesis: Singular pressures in the mechanics of compressibles dynamics, 2021.

  IMJ-PRG, Université Paris Cité.

  PDF

  Supervisors: Cosmin Burtea, David Gérard-Varet · Advisor: Julien Guillod
• 2

  Master thesis: A result for transport equations and conservation with diffusion, 2020.

  IMSP, Université d'Abomey Calavi.

  PDF

  Supervisor: Nicolas Depauw (Nantes Université).
• 1

  Undergraduate thesis: Cauchy Lipschitz theorem, 2018. (with Edah Franco Roberto)

  IMSP, Université d'Abomey Calavi.

  PDF

  Supervisor: Liadi Liamidi (Université d'Abomey Calavi).

• 7

  Nov. 12, 2025 – Online talk, School of Mathematical Sciences, Beijing Normal University, China.
• 6

  Oct. 27–31, 2025 – Poster, Workshop “End of CRISIS”, Marseille (CIRM), France.
• 5

  Sept. 21–26, 2025 – Workshop “MathFlows' 25”, Porquerolles, France.
• 4

  June 23–27, 2025 – Poster, Summer school “Particles in Flow”, Bonn, Germany.
• 3

  June 17, 2025 – PhD thesis defense, IMJ-PRG, Université Paris Cité.
• 2

  April 15, 2025 – Séminaire MAC, Institut de Mathématiques de Toulouse, France.
• 1

  March 20, 2025 – Séminaire de l'équipe d'Analyse et EDP, LaMME, Université d'Évry, France.

• 4

  Sept. 2–4, 2024 – Meeting on Differential Equations in Ancona, Ancona, Italy.
• 3

  Feb. 23, 2024 – Séminaire EDPs2, LAMA, Université Savoie Mont Blanc, France.
• 2

  Jan. 31, 2024 – Séminaire des doctorant.es du LJLL, Paris, France.
• 1

  Jan. 8–9, 2024 – Poster, “Journées de lancement de l'ANR BOURGEONS”, Paris, France.

• 3

  Nov. 16–17, 2023 – Conference “Maths pour la Géophysique”, Amiens, France.
• 2

  July 25, 2023 – Working group “Nonlinear PDE”, Karlsruhe Institute of Technology, Germany.
• 1

  March 22, 2023 – Poster, “Journées Jeunes EDPistes”, Tours, France.

I dedicate roughly an hour per week to supporting high school students with their maths exercises. Most of the time, they are motivated, and a small amount of help is enough to help them feel more at ease with mathematics. I warmly encourage others to volunteer as well; you can find opportunities here.