English

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

Fluid Dynamics 2025-08-25 v2 Analysis of PDEs Dynamical Systems Atmospheric and Oceanic Physics

Abstract

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.

Keywords

Cite

@article{arxiv.2503.12906,
  title  = {On the modeling of nonlinear wind-induced ice-drift ocean currents at the North Pole},
  author = {Christian Puntini},
  journal= {arXiv preprint arXiv:2503.12906},
  year   = {2025}
}

Comments

48 pages, 6 figures