8 papers
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…
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…
On the instability of some upward propagating, exact, nonlinear mountain waves
Christian Puntini
Using the short-wavelength instability method, we investigate the linear instability of an exact solution describing upward-propagating mountain waves, derived in A. Constantin, \e…
Instability of the halocline at the North Pole
Christian Puntini
In this paper we address the issue of stability for the near-inertial Pollard waves, as a model for the halocline in the region of the Arctic Ocean centered around the North Pole,…
Near-Inertial Pollard Waves Modeling the Arctic Halocline
Christian Puntini
We present an explicit and exact solution to the governing equations describing the vertical structure of the Arctic Ocean region centred around the North Pole. The solution descri…
Nonlinear Dynamics of Wind-Drift Currents at Mid-Latitudes
Christian Puntini
Starting from the Navier-Stokes equation in the -plane approximation, we provide an exact and explicit solution of the governing equations at leading order for fluid flows in th…