2 papers
math.AP2025
Diffusion-free boundary conditions for the Navier-Stokes equations
Emmanuel Dormy, David Gerard-Varet
We provide a mathematical analysis of the `diffusion-free' boundary conditions recently introduced by Lin and Kerswell for the numerical treatment of inertial waves in a fluid cont…
physics.flu-dyn2024
Do irrotational water waves remain irrotational in the limit of a vanishing viscosity?
Alan Riquier, Emmanuel Dormy
Theoretical results on water waves almost always start by assuming irrotationality of the flow in order to simplify the formulation. In this work, we investigate the well-foundedne…