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

2025/03/17 by Puntini, Christian · 1 citation
#35B30 #35C05 #35Q30 #35Q35 #76M45 #76U60 #Analysis of PDEs (math.AP) #Atmospheric and Oceanic Physics (physics.ao-ph) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn)

paper · doi:10.48550/arxiv.2503.12906

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.

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