On the modeling of nonlinear wind-induced ice-drift ocean currents at the North Pole

Fuente: arXiv
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Autore principale: Puntini, Christian
Natura: Preprint
Pubblicazione: 2025
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author Puntini, Christian
author_facet Puntini, Christian
contents 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 leading order, the nonlinear ice-drift flow for regions centered around the North Pole. An exact solution is derived in the material/Lagrangian formalism, describing a superposition of oscillations, a mean Ekman flow and a geostrophic current.
format Preprint
id arxiv_https___arxiv_org_abs_2503_12906
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the modeling of nonlinear wind-induced ice-drift ocean currents at the North Pole
Puntini, Christian
Fluid Dynamics
Analysis of PDEs
Dynamical Systems
Atmospheric and Oceanic Physics
76M45, 76U60, 35B30, 35C05, 35Q30, 35Q35
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 leading order, the nonlinear ice-drift flow for regions centered around the North Pole. An exact solution is derived in the material/Lagrangian formalism, describing a superposition of oscillations, a mean Ekman flow and a geostrophic current.
title On the modeling of nonlinear wind-induced ice-drift ocean currents at the North Pole
topic Fluid Dynamics
Analysis of PDEs
Dynamical Systems
Atmospheric and Oceanic Physics
76M45, 76U60, 35B30, 35C05, 35Q30, 35Q35
url https://arxiv.org/abs/2503.12906