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Do irrotational water waves remain so?

joint work with Emmanuel Dormy, Proc. Roy. Soc. A (2026)

Using a Finite-Element based solver for the Navier-Stokes equations, we study the stability of the boundary layer lying at the bottom of the ocean in 2D. Our simulations show that a water waves of finite amplitude can trigger separation of vorticity in a singular manner: this phenomenon does not vanish with the viscosity.

My thesis

Prepared at the ENS, defended in 2025

About me

I am a post-doctoral student in Applied Mathematics, currently based at the Fields Institute in Toronto, where I have been awarded a Fields Post-Doctoral Fellowship. Before that, I was an invited post-doctoral researcher at the DAMTP in Cambridge. I denfended my Ph.D. at École Normale Supérieure - PSL in September 2025. My research focuses on the mathematical theory of (possibly breaking) water waves, boundary layers and numerical analysis.

Where is my office?

Office

The Fields Institute for Research in Mathematical Sciences
222 College Street
Toronto, Ontario
M5T 3J1, Canada