3 papers
physics.flu-dyn2026
Why a mid-depth stress-free boundary condition is incorrect for Ekman flows
Christian Puntini, Luigi Roberti
We show that the assumption of a stress-free boundary condition at a finite intermediate depth, namely, at the bottom of the Ekman layer, in the analysis of wind-driven ocean flows…
physics.flu-dyn2026
On large-scale wind-drift ocean currents: An asymptotic approach in spherical coordinates
Christian Puntini, Luigi Roberti, Eduard Stefanescu
Starting from the Navier--Stokes equations in rotating spherical coordinates with depth-varying density and eddy viscosity, we derive an asymptotic model describing non-equatorial…
math.AP2024
Global-in-time existence, uniqueness and stability of solutions to a model of the Antarctic Circumpolar Current
Luigi Roberti, Eduard Stefanescu
We consider a model for the Antarctic Circumpolar Current in rotating spherical coordinates. After establishing global-in-time existence and uniqueness of classical solutions, we t…