8 papers
A note on the lower boundary condition 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 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…
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…
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,…
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…
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…
On the modeling of nonlinear wind-induced ice-drift ocean currents at the North Pole
Christian Puntini
Starting from the governing equations for geophysical flows, by means of a thin-shell approximation and a tangent plane approximation, we derive the equations describing, at leadin…
Shielding of breathers for the focusing nonlinear Schrödinger equation
Gregorio Falqui, Tamara Grava, Christian Puntini
We study a deterministic gas of breathers for the Focusing Nonlinear Schrödinger equation. The gas of breathers is obtained from a -breather solution in the limit .…